{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# 3.1 Parabolic model problem\n",
    "We are solving the unsteady heat equation \n",
    "\n",
    "$$\\text{find } u:[0,T] \\to H_{0,D}^1 \\quad \\int_{\\Omega} \\partial_t u v + \\int_{\\Omega} \\nabla u \\nabla v + b \\cdot \\nabla u v = \\int f v  \\quad \\forall v \\in H_{0,D}^1, \\quad u(t=0) = u_0$$\n",
    "\n",
    "with a suitable advective field $b$ (the wind)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "import netgen.gui\n",
    "%gui tk\n",
    "import tkinter\n",
    "from math import pi\n",
    "from ngsolve import *\n",
    "from netgen.geom2d import SplineGeometry"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "* Geometry: $(-1,1)^2$\n",
    "* Dirichlet boundaries everywhere\n",
    "* Mesh"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "geo = SplineGeometry()\n",
    "geo.AddRectangle( (-1, -1), (1, 1), bcs = (\"bottom\", \"right\", \"top\", \"left\"))\n",
    "mesh = Mesh( geo.GenerateMesh(maxh=0.25))\n",
    "Draw(mesh)\n",
    "fes = H1(mesh, order=3, dirichlet=\"bottom|right|left|top\")\n",
    "\n",
    "u,v = fes.TnT() # TnT : Trial and Test function\n",
    "\n",
    "time = 0.0\n",
    "dt = 0.001"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "We define the field $b$ (the wind) as \n",
    "\n",
    "$$b(x,y) := (2y(1-x^2),-2x(1-y^2)).$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "b = CoefficientFunction((2*y*(1-x*x),-2*x*(1-y*y)))\n",
    "Draw(b,mesh,\"wind\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "* bilinear forms for \n",
    " * convection-diffusion stiffness and \n",
    " * mass matrix seperately.\n",
    "* non-symmetric memory layout for the mass matrix so that a and m have the same sparsity pattern."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "a = BilinearForm(fes, symmetric=False)\n",
    "a += SymbolicBFI (0.01*grad(u)*grad(v) + b*grad(u)*v)\n",
    "a.Assemble()\n",
    "\n",
    "m = BilinearForm(fes, symmetric=False)\n",
    "m += SymbolicBFI (u*v)\n",
    "m.Assemble()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Implicit Euler method\n",
    "$$\n",
    "  \\underbrace{(M + \\Delta t A)}_{M^\\ast} u^{n+1} = M u^n + f^{n+1}\n",
    "$$\n",
    "\n",
    "or in an incremental form:\n",
    "\n",
    "$$\n",
    "  M^\\ast (u^{n+1} - u^n) = - \\Delta t A u^n + f^{n+1}.\n",
    "$$\n",
    "\n",
    "* Incremental form: $u^{n+1} - u^n$ has homogeneous boundary conditions (unless boundary conditions are time-dependent).\n",
    "* For the time stepping method: set up linear combinations of matrices.\n",
    "* (Only) if the sparsity pattern of the matrices agree we can copy the pattern and sum up the entries."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "First, we create a matrix of the same size and sparsity pattern as m.mat:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Row 0:   0: 0.00520833   4: 0.00260417   31: 0.00260417   89: -0.000520833   90: 8.68056e-05   91: -0.000520833   92: 8.68056e-05   111: -0.000260417   112: -1.32984e-19   553: 0.000173611\n",
      "Row 1:   1: 0.00881   10: 0.00223514   11: 0.00216986   38: 0.004405   93: -0.000447029   94: 7.45048e-05   95: -0.000433972   96: 7.23287e-05   97: -0.000881   98: 0.000146833   147: -0.000223514   148: 1.14349e-19   151: -0.000216986   152: -1.11385e-19   565: 0.00014901   567: 0.000144657\n",
      "Row 2:   2: 0.00520833   17: 0.00260417   18: 0.00260417   99: -0.000520833   100: 8.68056e-05   101: -0.000520833   102: 8.68056e-05   185: -0.000260417   186: 1.32984e-19   580: 0.000173611\n",
      "Row 3:   3: 0.0085306   24: 0.0021602   25: 0.00210509   51: 0.0042653   103: -0.000432041   104: 7.20068e-05   105: -0.000421019   106: 7.01698e-05   107: -0.00085306   108: 0.000142177   227: -0.00021602   228: 1.10961e-19   231: -0.000210509   232: -1.06303e-19   592: 0.000144014   594: 0.00014034\n",
      "Row 4:   0: 0.00260417   4: 0.0172928   5: 0.00257259   31: 0.00607383   32: 0.00604225   89: -0.000520833   90: -8.68056e-05   91: -0.000260417   92: -1.42302e-19   109: -0.000514517   110: 8.57529e-05   111: -0.00121477   112: 0.000202461   113: -0.00120845   114: 0.000201408   117: -0.000257259   118: -1.29173e-19   263: -0.000346966   264: 1.79571e-19   553: 0.000173611   554: 0.000171506   606: 0.000231311\n",
      "Row 5:   4: 0.00257259   5: 0.0155888   6: 0.00248586   32: 0.00530853   33: 0.00522181   109: -0.000514517   110: -8.57529e-05   113: -0.000257259   114: -1.40607e-19   115: -0.000497173   116: 8.28621e-05   117: -0.00106171   118: 0.000176951   119: -0.00104436   120: 0.00017406   123: -0.000248586   124: -1.26208e-19   267: -0.000273595   268: 1.40607e-19   554: 0.000171506   555: 0.000165724   556: 0.000182397\n",
      "Row 6:   5: 0.00248586   6: 0.0150249   7: 0.00249358   33: 0.00501889   34: 0.0050266   115: -0.000497173   116: -8.28621e-05   119: -0.000248586   120: -1.35525e-19   121: -0.000498715   122: 8.31192e-05   123: -0.00100378   124: 0.000167296   125: -0.00100532   126: 0.000167553   129: -0.000249358   130: -1.27902e-19   273: -0.000253303   274: 1.28325e-19   555: 0.000165724   557: 0.000166238   558: 0.000168869\n",
      "Row 7:   6: 0.00249358   7: 0.014547   8: 0.00239768   34: 0.00487581   35: 0.00477991   121: -0.000498715   122: -8.31192e-05   125: -0.000249358   126: -1.37219e-19   127: -0.000479535   128: 7.99225e-05   129: -0.000975163   130: 0.000162527   131: -0.000955983   132: 0.00015933   135: -0.000239768   136: -1.21973e-19   279: -0.000238224   280: 1.22396e-19   557: 0.000166238   559: 0.000159845   560: 0.000158816\n",
      "Row 8:   7: 0.00239768   8: 0.0131663   9: 0.00211555   35: 0.00446758   36: 0.00418546   127: -0.000479535   128: -7.99225e-05   131: -0.000239768   132: -1.32137e-19   133: -0.000423111   134: 7.05185e-05   135: -0.000893517   136: 0.000148919   137: -0.000837092   138: 0.000139515   141: -0.000211555   142: -1.0842e-19   285: -0.000206991   286: 1.05879e-19   559: 0.000159845   561: 0.000141037   562: 0.000137994\n",
      "Row 9:   8: 0.00211555   9: 0.012166   10: 0.00204431   36: 0.00403871   37: 0.00396746   133: -0.000423111   134: -7.05185e-05   137: -0.000211555   138: -1.15196e-19   139: -0.000408861   140: 6.81435e-05   141: -0.000807741   142: 0.000134624   143: -0.000793492   144: 0.000132249   145: -0.000204431   146: -1.05456e-19   291: -0.000192315   292: 9.78323e-20   561: 0.000141037   563: 0.000136287   564: 0.00012821\n",
      "Row 10:   1: 0.00223514   9: 0.00204431   10: 0.0124337   37: 0.00398169   38: 0.00417253   93: -0.000447029   94: -7.45048e-05   97: -0.000223514   98: -3.38813e-21   139: -0.000408861   140: -6.81435e-05   143: -0.000204431   144: -1.13502e-19   145: -0.000796339   146: 0.000132723   147: -0.000834506   148: 0.000139084   297: -0.000193739   298: 9.78323e-20   563: 0.000136287   565: 0.00014901   566: 0.000129159\n",
      "Row 11:   1: 0.00216986   11: 0.012006   12: 0.00191553   38: 0.00408747   39: 0.00383314   95: -0.000433972   96: -7.23287e-05   97: -0.000216986   98: -1.18585e-19   149: -0.000383105   150: 6.38509e-05   151: -0.000817495   152: 0.000136249   153: -0.000766628   154: 0.000127771   157: -0.000191553   158: -9.78323e-20   303: -0.000191761   304: 9.78323e-20   567: 0.000144657   568: 0.000127702   569: 0.000127841\n",
      "Row 12:   11: 0.00191553   12: 0.0112474   13: 0.00190397   39: 0.00371974   40: 0.00370818   149: -0.000383105   150: -6.38509e-05   153: -0.000191553   154: -1.06726e-19   155: -0.000380794   156: 6.34656e-05   157: -0.000743947   158: 0.000123991   159: -0.000741635   160: 0.000123606   163: -0.000190397   164: -9.57147e-20   307: -0.000180421   308: 9.27501e-20   568: 0.000127702   570: 0.000126931   571: 0.000120281\n",
      "Row 13:   12: 0.00190397   13: 0.0117954   14: 0.00212135   40: 0.00377636   41: 0.00399374   155: -0.000380794   156: -6.34656e-05   159: -0.000190397   160: -1.01644e-19   161: -0.000424269   162: 7.07116e-05   163: -0.000755272   164: 0.000125879   165: -0.000798747   166: 0.000133125   169: -0.000212135   170: -1.07997e-19   313: -0.000187239   314: 9.74088e-20   570: 0.000126931   572: 0.000141423   573: 0.000124826\n",
      "Row 14:   13: 0.00212135   14: 0.0129936   15: 0.00223181   41: 0.00426499   42: 0.00437546   161: -0.000424269   162: -7.07116e-05   165: -0.000212135   166: -1.15196e-19   167: -0.000446363   168: 7.43938e-05   169: -0.000852998   170: 0.000142166   171: -0.000875092   172: 0.000145849   175: -0.000223181   176: -1.16467e-19   319: -0.000214364   320: 1.0842e-19   572: 0.000141423   574: 0.000148788   575: 0.00014291\n",
      "Row 15:   14: 0.00223181   15: 0.0134797   16: 0.00224448   42: 0.00449536   43: 0.00450802   167: -0.000446363   168: -7.43938e-05   171: -0.000223181   172: -1.23667e-19   173: -0.000448896   174: 7.48159e-05   175: -0.000899072   176: 0.000149845   177: -0.000901604   178: 0.000150267   181: -0.000224448   182: -1.15196e-19   325: -0.000226354   326: 1.16044e-19   574: 0.000148788   576: 0.000149632   577: 0.000150903\n",
      "Row 16:   15: 0.00224448   16: 0.0133425   17: 0.00215424   43: 0.00451702   44: 0.00442679   173: -0.000448896   174: -7.48159e-05   177: -0.000224448   178: -1.21973e-19   179: -0.000430848   180: 7.1808e-05   181: -0.000903405   182: 0.000150567   183: -0.000885358   184: 0.00014756   187: -0.000215424   188: -1.11385e-19   331: -0.000227255   332: 1.15196e-19   576: 0.000149632   578: 0.000143616   579: 0.000151503\n",
      "Row 17:   2: 0.00260417   16: 0.00215424   17: 0.0154801   18: 0.0055858   44: 0.00513587   99: -0.000520833   100: -8.68056e-05   101: -0.000260417   102: -5.0822e-21   179: -0.000430848   180: -7.1808e-05   183: -0.000215424   184: -1.16891e-19   185: -0.00111716   186: 0.000186193   187: -0.00102717   188: 0.000171196   191: -0.000298163   192: -1.53313e-19   578: 0.000143616   580: 0.000173611   607: 0.000198776\n",
      "Row 18:   2: 0.00260417   17: 0.0055858   18: 0.0199413   19: 0.00203967   44: 0.00532681   45: 0.00438484   99: -0.000260417   100: -1.42302e-19   101: -0.000520833   102: -8.68056e-05   185: -0.00111716   186: -0.000186193   187: -0.000298163   188: -1.66018e-19   189: -0.000407933   190: 6.79889e-05   191: -0.00106536   192: 0.00017756   193: -0.000876968   194: 0.000146161   197: -0.000203967   198: -1.03762e-19   337: -0.000234517   338: 1.19432e-19   580: 0.000173611   581: 0.000135978   607: 0.000198776   608: 0.000156345\n",
      "Row 19:   18: 0.00203967   19: 0.0126125   20: 0.00237467   45: 0.00393159   46: 0.0042666   189: -0.000407933   190: -6.79889e-05   193: -0.000203967   194: -1.10114e-19   195: -0.000474934   196: 7.91557e-05   197: -0.000786319   198: 0.000131053   199: -0.00085332   200: 0.00014222   203: -0.000237467   204: -1.21126e-19   341: -0.000189193   342: 9.74088e-20   581: 0.000135978   582: 0.000158311   583: 0.000126129\n",
      "Row 20:   19: 0.00237467   20: 0.0143415   21: 0.0024618   46: 0.00470896   47: 0.00479609   195: -0.000474934   196: -7.91557e-05   199: -0.000237467   200: -1.30443e-19   201: -0.000492361   202: 8.20601e-05   203: -0.000941792   204: 0.000156965   205: -0.000959218   206: 0.00015987   209: -0.00024618   210: -1.24514e-19   345: -0.000233429   346: 1.19432e-19   582: 0.000158311   584: 0.00016412   585: 0.000155619\n",
      "Row 21:   20: 0.0024618   21: 0.0145322   22: 0.00239343   47: 0.00487266   48: 0.00480429   201: -0.000492361   202: -8.20601e-05   205: -0.00024618   206: -1.33831e-19   207: -0.000478686   208: 7.97809e-05   209: -0.000974533   210: 0.000162422   211: -0.000960858   212: 0.000160143   215: -0.000239343   216: -1.2282e-19   351: -0.000241086   352: 1.24514e-19   584: 0.00016412   586: 0.000159562   587: 0.000160724\n",
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      "Row 23:   22: 0.00226679   23: 0.0125328   24: 0.00204384   49: 0.00422256   50: 0.00399962   213: -0.000453357   214: -7.55595e-05   217: -0.000226679   218: -1.23667e-19   219: -0.000408768   220: 6.81281e-05   221: -0.000844512   222: 0.000140752   223: -0.000799923   224: 0.000133321   225: -0.000204384   226: -1.03338e-19   363: -0.000195577   364: 9.86793e-20   588: 0.000151119   590: 0.000136256   591: 0.000130385\n",
      "Row 24:   3: 0.0021602   23: 0.00204384   24: 0.0122795   50: 0.00397956   51: 0.00409593   103: -0.000432041   104: -7.20068e-05   107: -0.00021602   108: -6.77626e-21   219: -0.000408768   220: -6.81281e-05   223: -0.000204384   224: -1.11808e-19   225: -0.000795913   226: 0.000132652   227: -0.000819185   228: 0.000136531   369: -0.000193572   370: 9.86793e-20   590: 0.000136256   592: 0.000144014   593: 0.000129048\n",
      "Row 25:   3: 0.00210509   25: 0.0119184   26: 0.00193478   51: 0.00402439   52: 0.00385408   105: -0.000421019   106: -7.01698e-05   107: -0.000210509   108: -1.13502e-19   229: -0.000386957   230: 6.44928e-05   231: -0.000804878   232: 0.000134146   233: -0.000770816   234: 0.000128469   237: -0.000193478   238: -9.95264e-20   375: -0.00019193   376: 9.78323e-20   594: 0.00014034   595: 0.000128986   596: 0.000127953\n",
      "Row 26:   25: 0.00193478   26: 0.011884   27: 0.00211608   52: 0.00382594   53: 0.00400724   229: -0.000386957   230: -6.44928e-05   233: -0.000193478   234: -1.06726e-19   235: -0.000423216   236: 7.05359e-05   237: -0.000765189   238: 0.000127531   239: -0.000801448   240: 0.000133575   243: -0.000211608   244: -1.0842e-19   379: -0.000189116   380: 9.57147e-20   595: 0.000128986   597: 0.000141072   598: 0.000126077\n",
      "Row 27:   26: 0.00211608   27: 0.012784   28: 0.00217468   53: 0.00421731   54: 0.00427591   235: -0.000423216   236: -7.05359e-05   239: -0.000211608   240: -1.13502e-19   241: -0.000434936   242: 7.24893e-05   243: -0.000843463   244: 0.000140577   245: -0.000855183   246: 0.00014253   249: -0.000217468   250: -1.11385e-19   385: -0.000210123   386: 1.05879e-19   597: 0.000141072   599: 0.000144979   600: 0.000140082\n",
      "Row 28:   27: 0.00217468   28: 0.0127775   29: 0.00205794   54: 0.0043308   55: 0.00421405   241: -0.000434936   242: -7.24893e-05   245: -0.000217468   246: -1.16891e-19   247: -0.000411587   248: 6.85979e-05   249: -0.000866159   250: 0.00014436   251: -0.000842811   252: 0.000140468   255: -0.000205794   256: -1.06303e-19   391: -0.000215612   392: 1.08844e-19   599: 0.000144979   601: 0.000137196   602: 0.000143741\n",
      "Row 29:   28: 0.00205794   29: 0.0136632   30: 0.00220621   55: 0.0046254   56: 0.00477368   247: -0.000411587   248: -6.85979e-05   251: -0.000205794   252: -1.11808e-19   253: -0.000441242   254: 7.35403e-05   255: -0.000925081   256: 0.00015418   257: -0.000954735   258: 0.000159123   261: -0.000220621   262: -1.13926e-19   397: -0.000256747   398: 1.30867e-19   601: 0.000137196   603: 0.000147081   604: 0.000171164\n",
      "Row 30:   29: 0.00220621   30: 0.00882484   31: 0.00220621   56: 0.00441242   253: -0.000441242   254: -7.35403e-05   257: -0.000220621   258: -1.21973e-19   259: -0.000441242   260: 7.35403e-05   261: -0.000882484   262: 0.000147081   265: -0.000220621   266: -1.14349e-19   603: 0.000147081   605: 0.000147081\n",
      "Row 31:   0: 0.00260417   4: 0.00607383   30: 0.00220621   31: 0.0241167   32: 0.00724798   56: 0.00598453   89: -0.000260417   90: -5.0822e-21   91: -0.000520833   92: -8.68056e-05   111: -0.00121477   112: -0.000202461   113: -0.000346966   114: -6.77626e-21   259: -0.000441242   260: -7.35403e-05   261: -0.000220621   262: -1.21973e-19   263: -0.0014496   264: 0.000241599   265: -0.00119691   266: 0.000199484   269: -0.000377832   270: -1.93124e-19   553: 0.000173611   605: 0.000147081   606: 0.000231311   609: 0.000251888\n",
      "Row 32:   4: 0.00604225   5: 0.00530853   31: 0.00724798   32: 0.0357306   33: 0.00530564   56: 0.00651741   58: 0.00530878   109: -0.000257259   110: -6.77626e-21   111: -0.000346966   112: -1.91429e-19   113: -0.00120845   114: -0.000201408   117: -0.00106171   118: -0.000176951   119: -0.000273595   120: -6.77626e-21   263: -0.0014496   264: -0.000241599   265: -0.000377832   266: -2.03288e-19   267: -0.00106113   268: 0.000176855   269: -0.00130348   270: 0.000217247   271: -0.00106176   272: 0.000176959   277: -0.000256969   278: -1.31714e-19   403: -0.00027391   404: 1.41031e-19   554: 0.000171506   556: 0.000182397   606: 0.000231311   609: 0.000251888   611: 0.000171312   654: 0.000182606\n",
      "Row 33:   5: 0.00522181   6: 0.00501889   32: 0.00530564   33: 0.0306836   34: 0.00507329   57: 0.00501727   58: 0.00504669   115: -0.000248586   116: -6.77626e-21   117: -0.000273595   118: -1.49078e-19   119: -0.00104436   120: -0.00017406   123: -0.00100378   124: -0.000167296   125: -0.000253303   126: -6.77626e-21   267: -0.00106113   268: -0.000176855   271: -0.000256969   272: -1.40607e-19   273: -0.00101466   274: 0.00016911   275: -0.00100345   276: 0.000167242   277: -0.00100934   278: 0.000168223   281: -0.000254027   282: -1.29173e-19   407: -0.0002477   408: -1.25784e-19   555: 0.000165724   556: 0.000182397   558: 0.000168869   610: 0.000169351   611: 0.000171312   612: 0.000165134\n",
      "Row 34:   6: 0.0050266   7: 0.00487581   33: 0.00507329   34: 0.0301409   35: 0.00493743   57: 0.00510641   76: 0.00512134   121: -0.000249358   122: -6.77626e-21   123: -0.000253303   124: -1.37219e-19   125: -0.00100532   126: -0.000167553   129: -0.000975163   130: -0.000162527   131: -0.000238224   132: -5.0822e-21   273: -0.00101466   274: -0.00016911   275: -0.000254027   276: -1.38913e-19   279: -0.000987486   280: 0.000164581   281: -0.00102128   282: 0.000170214   283: -0.00102427   284: 0.000170711   289: -0.00025552   290: -1.30443e-19   409: -0.000256614   410: 1.32137e-19   557: 0.000166238   558: 0.000168869   560: 0.000158816   610: 0.000169351   649: 0.000170346   652: 0.000171076\n",
      "Row 35:   7: 0.00477991   8: 0.00446758   34: 0.00493743   35: 0.0283076   36: 0.0043702   59: 0.0047488   76: 0.0050037   127: -0.000239768   128: -6.77626e-21   129: -0.000238224   130: -1.30443e-19   131: -0.000955983   132: -0.00015933   135: -0.000893517   136: -0.000148919   137: -0.000206991   138: -6.77626e-21   279: -0.000987486   280: -0.000164581   283: -0.00025552   284: -1.37219e-19   285: -0.00087404   286: 0.000145673   287: -0.00094976   288: 0.000158293   289: -0.00100074   290: 0.00016679   293: -0.000230029   294: -1.17738e-19   421: -0.000244851   422: -1.25361e-19   559: 0.000159845   560: 0.000158816   562: 0.000137994   613: 0.000153353   649: 0.000170346   650: 0.000163234\n",
      "Row 36:   8: 0.00418546   9: 0.00403871   35: 0.0043702   36: 0.0239056   37: 0.00366933   59: 0.004098   60: 0.00354389   133: -0.000211555   134: -6.77626e-21   135: -0.000206991   136: -1.11808e-19   137: -0.000837092   138: -0.000139515   141: -0.000807741   142: -0.000134624   143: -0.000192315   144: -6.77626e-21   285: -0.00087404   286: -0.000145673   287: -0.000230029   288: -1.25361e-19   291: -0.000733865   292: 0.000122311   293: -0.000819601   294: 0.0001366   295: -0.000708777   296: 0.00011813   299: -0.000174617   300: -8.85149e-20   419: -0.000179771   420: 9.31736e-20   561: 0.000141037   562: 0.000137994   564: 0.00012821   613: 0.000153353   614: 0.000116412   615: 0.000119847\n",
      "Row 37:   9: 0.00396746   10: 0.00398169   36: 0.00366933   37: 0.0221791   38: 0.00380941   60: 0.00331266   61: 0.00343851   139: -0.000204431   140: -5.0822e-21   141: -0.000192315   142: -1.05032e-19   143: -0.000793492   144: -0.000132249   145: -0.000796339   146: -0.000132723   147: -0.000193739   148: -3.38813e-21   291: -0.000733865   292: -0.000122311   295: -0.000174617   296: -9.57147e-20   297: -0.000761882   298: 0.00012698   299: -0.000662533   300: 0.000110422   301: -0.000687702   302: 0.000114617   305: -0.000187202   306: -9.61382e-20   427: -0.000156649   428: 7.96211e-20   563: 0.000136287   564: 0.00012821   566: 0.000129159   614: 0.000116412   616: 0.000124802   617: 0.000104433\n",
      "Row 38:   1: 0.004405   10: 0.00417253   11: 0.00408747   37: 0.00380941   38: 0.023899   39: 0.00373507   61: 0.00368947   93: -0.000223514   94: -1.21973e-19   95: -0.000216986   96: -5.0822e-21   97: -0.000881   98: -0.000146833   145: -0.000193739   146: -1.03338e-19   147: -0.000834506   148: -0.000139084   151: -0.000817495   152: -0.000136249   153: -0.000191761   154: -5.0822e-21   297: -0.000761882   298: -0.00012698   301: -0.000187202   302: -9.99499e-20   303: -0.000747013   304: 0.000124502   305: -0.000737895   306: 0.000122982   309: -0.000181745   310: -9.27501e-20   565: 0.00014901   566: 0.000129159   567: 0.000144657   569: 0.000127841   616: 0.000124802   618: 0.000121163\n",
      "Row 39:   11: 0.00383314   12: 0.00371974   38: 0.00373507   39: 0.0212377   40: 0.00343274   61: 0.00335298   63: 0.00316406   149: -0.000191553   150: -5.0822e-21   151: -0.000191761   152: -1.03338e-19   153: -0.000766628   154: -0.000127771   157: -0.000743947   158: -0.000123991   159: -0.000180421   160: -5.0822e-21   303: -0.000747013   304: -0.000124502   305: -0.000181745   306: -9.82558e-20   307: -0.000686548   308: 0.000114425   309: -0.000670597   310: 0.000111766   311: -0.000632812   312: 0.000105469   317: -0.000162853   318: -8.25857e-20   431: -0.000153553   432: 7.75035e-20   568: 0.000127702   569: 0.000127841   571: 0.000120281   618: 0.000121163   620: 0.000108569   621: 0.000102369\n",
      "Row 40:   12: 0.00370818   13: 0.00377636   39: 0.00343274   40: 0.0217926   41: 0.00391768   62: 0.0036872   63: 0.00327044   155: -0.000190397   156: -3.38813e-21   157: -0.000180421   158: -9.99499e-20   159: -0.000741635   160: -0.000123606   163: -0.000755272   164: -0.000125879   165: -0.000187239   166: -6.77626e-21   307: -0.000686548   308: -0.000114425   311: -0.000162853   312: -8.72444e-20   313: -0.000783537   314: 0.000130589   315: -0.00073744   316: 0.000122907   317: -0.000654087   318: 0.000109015   321: -0.000204529   322: -1.04609e-19   435: -0.000164191   436: -8.47033e-20   570: 0.000126931   571: 0.000120281   573: 0.000124826   619: 0.000136353   620: 0.000108569   622: 0.00010946\n",
      "Row 41:   13: 0.00399374   14: 0.00426499   40: 0.00391768   41: 0.0251021   42: 0.00436958   62: 0.00418774   64: 0.00436839   161: -0.000212135   162: -3.38813e-21   163: -0.000187239   164: -1.01644e-19   165: -0.000798747   166: -0.000133125   169: -0.000852998   170: -0.000142166   171: -0.000214364   172: -5.0822e-21   313: -0.000783537   314: -0.000130589   315: -0.000204529   316: -1.11808e-19   319: -0.000873917   320: 0.000145653   321: -0.000837549   322: 0.000139591   323: -0.000873678   324: 0.000145613   327: -0.000222594   328: -1.14349e-19   437: -0.000214245   438: 1.10961e-19   572: 0.000141423   573: 0.000124826   575: 0.00014291   619: 0.000136353   623: 0.000148396   624: 0.00014283\n",
      "Row 42:   14: 0.00437546   15: 0.00449536   41: 0.00436958   42: 0.027128   43: 0.00459077   64: 0.00459778   65: 0.00469907   167: -0.000223181   168: -8.47033e-21   169: -0.000214364   170: -1.15196e-19   171: -0.000875092   172: -0.000145849   175: -0.000899072   176: -0.000149845   177: -0.000226354   178: -8.47033e-21   319: -0.000873917   320: -0.000145653   323: -0.000222594   324: -1.23667e-19   325: -0.000918154   326: 0.000153026   327: -0.000919557   328: 0.000153259   329: -0.000939814   330: 0.000156636   333: -0.000232722   334: -1.20279e-19   445: -0.000237184   446: 1.21973e-19   574: 0.000148788   575: 0.00014291   577: 0.000150903   623: 0.000148396   625: 0.000155148   626: 0.000158123\n",
      "Row 43:   15: 0.00450802   16: 0.00451702   42: 0.00459077   43: 0.0275198   44: 0.00461189   65: 0.00463998   66: 0.00465209   173: -0.000224448   174: -5.0822e-21   175: -0.000226354   176: -1.25361e-19   177: -0.000901604   178: -0.000150267   181: -0.000903405   182: -0.000150567   183: -0.000227255   184: -3.38813e-21   325: -0.000918154   326: -0.000153026   329: -0.000232722   330: -1.28749e-19   331: -0.000922377   332: 0.00015373   333: -0.000927996   334: 0.000154666   335: -0.000930419   336: 0.00015507   339: -0.000233934   340: -1.19432e-19   451: -0.000231275   452: 1.19432e-19   576: 0.000149632   577: 0.000150903   579: 0.000151503   625: 0.000155148   627: 0.000155956   628: 0.000154184\n",
      "Row 44:   16: 0.00442679   17: 0.00513587   18: 0.00532681   43: 0.00461189   44: 0.0281429   45: 0.0043237   66: 0.00431787   179: -0.000215424   180: -5.0822e-21   181: -0.000227255   182: -1.23667e-19   183: -0.000885358   184: -0.00014756   185: -0.000298163   186: -1.01644e-20   187: -0.00102717   188: -0.000171196   191: -0.00106536   192: -0.00017756   193: -0.000234517   194: -5.0822e-21   331: -0.000922377   332: -0.00015373   335: -0.000233934   336: -1.27055e-19   337: -0.00086474   338: 0.000144123   339: -0.000863574   340: 0.000143929   343: -0.000197853   344: -1.02915e-19   578: 0.000143616   579: 0.000151503   607: 0.000198776   608: 0.000156345   627: 0.000155956   629: 0.000131902\n",
      "Row 45:   18: 0.00438484   19: 0.00393159   44: 0.0043237   45: 0.0205032   46: 0.00388824   66: 0.00397484   189: -0.000203967   190: -6.77626e-21   191: -0.000234517   192: -1.27055e-19   193: -0.000876968   194: -0.000146161   197: -0.000786319   198: -0.000131053   199: -0.000189193   200: -5.0822e-21   337: -0.00086474   338: -0.000144123   339: -0.000197853   340: -1.10114e-19   341: -0.000777649   342: 0.000129608   343: -0.000794969   344: 0.000132495   347: -0.000199632   348: -1.03338e-19   581: 0.000135978   583: 0.000126129   608: 0.000156345   629: 0.000131902   633: 0.000133088\n",
      "Row 46:   19: 0.0042666   20: 0.00470896   45: 0.00388824   46: 0.0276595   47: 0.00499094   66: 0.00457222   68: 0.00523255   195: -0.000237467   196: -5.0822e-21   197: -0.000189193   198: -1.05032e-19   199: -0.00085332   200: -0.00014222   203: -0.000941792   204: -0.000156965   205: -0.000233429   206: -6.77626e-21   341: -0.000777649   342: -0.000129608   343: -0.000199632   344: -1.0842e-19   345: -0.000998187   346: 0.000166365   347: -0.000914443   348: 0.000152407   349: -0.00104651   350: 0.000174418   355: -0.000265665   356: -1.36372e-19   457: -0.00025759   458: 1.32137e-19   582: 0.000158311   583: 0.000126129   585: 0.000155619   631: 0.00017711   633: 0.000133088   651: 0.000171727\n",
      "Row 47:   20: 0.00479609   21: 0.00487266   46: 0.00499094   47: 0.0300494   48: 0.00478331   67: 0.00516111   68: 0.00544531   201: -0.00024618   202: -5.0822e-21   203: -0.000233429   204: -1.27055e-19   205: -0.000959218   206: -0.00015987   209: -0.000974533   210: -0.000162422   211: -0.000241086   212: -6.77626e-21   345: -0.000998187   346: -0.000166365   349: -0.000265665   350: -1.4569e-19   351: -0.000956662   352: 0.000159444   353: -0.00103222   354: 0.000172037   355: -0.00108906   356: 0.00018151   359: -0.000237245   360: -1.21549e-19   459: -0.000278867   460: -1.42725e-19   584: 0.00016412   585: 0.000155619   587: 0.000160724   630: 0.000158163   631: 0.00017711   632: 0.000185911\n",
      "Row 48:   21: 0.00480429   22: 0.00461885   47: 0.00478331   48: 0.0283872   49: 0.00461541   67: 0.00477391   69: 0.00479145   207: -0.000239343   208: -6.77626e-21   209: -0.000241086   210: -1.30443e-19   211: -0.000960858   212: -0.000160143   215: -0.00092377   216: -0.000153962   217: -0.000222542   218: -6.77626e-21   351: -0.000956662   352: -0.000159444   353: -0.000237245   354: -1.28749e-19   357: -0.000923082   358: 0.000153847   359: -0.000954782   360: 0.00015913   361: -0.000958291   362: 0.000159715   365: -0.000238999   366: -1.21973e-19   461: -0.000240146   462: 1.23243e-19   586: 0.000159562   587: 0.000160724   589: 0.000148361   630: 0.000158163   634: 0.000159333   635: 0.000160098\n",
      "Row 49:   22: 0.00449221   23: 0.00422256   48: 0.00461541   49: 0.0263015   50: 0.00406955   69: 0.00458901   70: 0.00431279   213: -0.000226679   214: -3.38813e-21   215: -0.000222542   216: -1.21973e-19   217: -0.000898441   218: -0.00014974   221: -0.000844512   222: -0.000140752   223: -0.000195577   224: -6.77626e-21   357: -0.000923082   358: -0.000153847   361: -0.000238999   362: -1.30443e-19   363: -0.00081391   364: 0.000135652   365: -0.000917801   366: 0.000152967   367: -0.000862558   368: 0.00014376   371: -0.000211378   372: -1.0842e-19   471: -0.000219901   472: 1.10961e-19   588: 0.000151119   589: 0.000148361   591: 0.000130385   634: 0.000159333   636: 0.000140918   637: 0.000146601\n",
      "Row 50:   23: 0.00399962   24: 0.00397956   49: 0.00406955   50: 0.0227013   51: 0.00357469   70: 0.00377633   71: 0.00330151   219: -0.000204384   220: -3.38813e-21   221: -0.000195577   222: -1.05032e-19   223: -0.000799923   224: -0.000133321   225: -0.000795913   226: -0.000132652   227: -0.000193572   228: -6.77626e-21   363: -0.00081391   364: -0.000135652   367: -0.000211378   368: -1.15196e-19   369: -0.000714938   370: 0.000119156   371: -0.000755265   372: 0.000125878   373: -0.000660303   374: 0.00011005   377: -0.000163897   378: -8.42798e-20   477: -0.000166255   478: 8.63974e-20   590: 0.000136256   591: 0.000130385   593: 0.000129048   636: 0.000140918   638: 0.000109264   639: 0.000110837\n",
      "Row 51:   3: 0.0042653   24: 0.00409593   25: 0.00402439   50: 0.00357469   51: 0.0227165   52: 0.00351826   71: 0.00323792   103: -0.00021602   104: -1.18585e-19   105: -0.000210509   106: -5.0822e-21   107: -0.00085306   108: -0.000142177   225: -0.000193572   226: -1.05032e-19   227: -0.000819185   228: -0.000136531   231: -0.000804878   232: -0.000134146   233: -0.00019193   234: -5.0822e-21   369: -0.000714938   370: -0.000119156   373: -0.000163897   374: -8.97855e-20   375: -0.000703651   376: 0.000117275   377: -0.000647585   378: 0.000107931   381: -0.000159896   382: -8.17387e-20   592: 0.000144014   593: 0.000129048   594: 0.00014034   596: 0.000127953   638: 0.000109264   640: 0.000106597\n",
      "Row 52:   25: 0.00385408   26: 0.00382594   51: 0.00351826   52: 0.022043   53: 0.00391732   71: 0.00325012   73: 0.00367732   229: -0.000193478   230: -5.0822e-21   231: -0.00019193   232: -1.06726e-19   233: -0.000770816   234: -0.000128469   237: -0.000765189   238: -0.000127531   239: -0.000189116   240: -6.77626e-21   375: -0.000703651   376: -0.000117275   377: -0.000159896   378: -8.72444e-20   379: -0.000783464   380: 0.000130577   381: -0.000650023   382: 0.000108337   383: -0.000735463   384: 0.000122577   389: -0.000202616   390: -1.05032e-19   483: -0.000165116   484: 8.25857e-20   595: 0.000128986   596: 0.000127953   598: 0.000126077   640: 0.000106597   642: 0.000135077   643: 0.000110077\n",
      "Row 53:   26: 0.00400724   27: 0.00421731   52: 0.00391732   53: 0.0251353   54: 0.00436744   72: 0.00443303   73: 0.00419299   235: -0.000211608   236: -6.77626e-21   237: -0.000189116   238: -1.03338e-19   239: -0.000801448   240: -0.000133575   243: -0.000843463   244: -0.000140577   245: -0.000210123   246: -6.77626e-21   379: -0.000783464   380: -0.000130577   383: -0.000202616   384: -1.10114e-19   385: -0.000873488   386: 0.000145581   387: -0.000886607   388: 0.000147768   389: -0.000838597   390: 0.000139766   393: -0.000226621   394: -1.14349e-19   485: -0.000216683   486: -1.11385e-19   597: 0.000141072   598: 0.000126077   600: 0.000140082   641: 0.00015108   642: 0.000135077   644: 0.000144455\n",
      "Row 54:   27: 0.00427591   28: 0.0043308   53: 0.00436744   54: 0.0263389   55: 0.00436796   72: 0.00452558   74: 0.00447121   241: -0.000217468   242: -5.0822e-21   243: -0.000210123   244: -1.13502e-19   245: -0.000855183   246: -0.00014253   249: -0.000866159   250: -0.00014436   251: -0.000215612   252: -6.77626e-21   385: -0.000873488   386: -0.000145581   387: -0.000226621   388: -1.21973e-19   391: -0.000873592   392: 0.000145599   393: -0.000905115   394: 0.000150853   395: -0.000894243   396: 0.00014904   399: -0.000221184   400: -1.13502e-19   487: -0.000225937   488: 1.17314e-19   599: 0.000144979   600: 0.000140082   602: 0.000143741   641: 0.00015108   645: 0.000147456   646: 0.000150625\n",
      "Row 55:   28: 0.00421405   29: 0.0046254   54: 0.00436796   55: 0.026173   56: 0.00476374   74: 0.0041087   75: 0.00409313   247: -0.000205794   248: -5.0822e-21   249: -0.000215612   250: -1.16891e-19   251: -0.000842811   252: -0.000140468   255: -0.000925081   256: -0.00015418   257: -0.000256747   258: -5.0822e-21   391: -0.000873592   392: -0.000145599   395: -0.000221184   396: -1.21973e-19   397: -0.000952748   398: 0.000158791   399: -0.000821741   400: 0.000136957   401: -0.000818627   402: 0.000136438   405: -0.000219627   406: -1.11385e-19   495: -0.000189686   496: 9.78323e-20   601: 0.000137196   602: 0.000143741   604: 0.000171164   645: 0.000147456   647: 0.000146418   648: 0.000126457\n",
      "Row 56:   29: 0.00477368   30: 0.00441242   31: 0.00598453   32: 0.00651741   55: 0.00476374   56: 0.0356235   58: 0.00485729   75: 0.00431447   253: -0.000220621   254: -5.0822e-21   255: -0.000256747   256: -1.42302e-19   257: -0.000954735   258: -0.000159123   259: -0.000220621   260: -6.77626e-21   261: -0.000882484   262: -0.000147081   263: -0.000377832   264: -6.77626e-21   265: -0.00119691   266: -0.000199484   269: -0.00130348   270: -0.000217247   271: -0.00027391   272: -3.38813e-21   397: -0.000952748   398: -0.000158791   401: -0.000219627   402: -1.18585e-19   403: -0.000971458   404: 0.00016191   405: -0.000862894   406: 0.000143816   415: -0.000211819   416: -1.08844e-19   603: 0.000147081   604: 0.000171164   605: 0.000147081   609: 0.000251888   647: 0.000146418   653: 0.000141213   654: 0.000182606\n",
      "Row 57:   33: 0.00501727   34: 0.00510641   57: 0.0304636   58: 0.00491604   76: 0.00526869   83: 0.00520938   84: 0.00494587   273: -0.000254027   274: -6.77626e-21   275: -0.00100345   276: -0.000167242   277: -0.0002477   278: -1.33831e-19   281: -0.00102128   282: -0.000170214   283: -0.000256614   284: -1.01644e-20   407: -0.000983207   408: 0.000163868   409: -0.00105374   410: 0.000175623   411: -0.00104188   412: 0.000173646   413: -0.000989174   414: 0.000164862   417: -0.000243903   418: 1.25361e-19   503: -0.000270255   504: -1.39337e-19   535: -0.000250684   536: -1.27902e-19   610: 0.000169351   612: 0.000165134   652: 0.000171076   667: 0.00018017   668: 0.000162602   670: 0.000167122\n",
      "Row 58:   32: 0.00530878   33: 0.00504669   56: 0.00485729   57: 0.00491604   58: 0.0286584   75: 0.00410439   84: 0.00442523   267: -0.000256969   268: -6.77626e-21   269: -0.00027391   270: -1.47384e-19   271: -0.00106176   272: -0.000176959   275: -0.0002477   276: -6.77626e-21   277: -0.00100934   278: -0.000168223   403: -0.000971458   404: -0.00016191   405: -0.000211819   406: -1.18585e-19   407: -0.000983207   408: -0.000163868   413: -0.000243903   414: -6.77626e-21   415: -0.000820879   416: 0.000136813   417: -0.000885046   418: 0.000147508   501: -0.00019862   502: 1.00797e-19   611: 0.000171312   612: 0.000165134   653: 0.000141213   654: 0.000182606   668: 0.000162602   669: 0.000132413\n",
      "Row 59:   35: 0.0047488   36: 0.004098   59: 0.029808   60: 0.00385472   76: 0.00547843   77: 0.00532757   86: 0.00630048   285: -0.000230029   286: -8.47033e-21   287: -0.00094976   288: -0.000158293   289: -0.000244851   290: -1.33831e-19   293: -0.000819601   294: -0.0001366   295: -0.000179771   296: -3.38813e-21   419: -0.000770943   420: 0.000128491   421: -0.00109569   422: 0.000182614   423: -0.00106551   424: 0.000177586   425: -0.0012601   426: 0.000210016   429: -0.000205701   430: -1.05456e-19   505: -0.000302992   506: 1.55007e-19   509: -0.000327056   510: -1.69407e-19   613: 0.000153353   615: 0.000119847   650: 0.000163234   657: 0.000137134   675: 0.000201994   679: 0.000218037\n",
      "Row 60:   36: 0.00354389   37: 0.00331266   59: 0.00385472   60: 0.0181374   61: 0.00346778   77: 0.0039583   291: -0.000174617   292: -3.38813e-21   293: -0.000179771   294: -9.99499e-20   295: -0.000708777   296: -0.00011813   299: -0.000662533   300: -0.000110422   301: -0.000156649   302: -5.0822e-21   419: -0.000770943   420: -0.000128491   423: -0.000205701   424: -1.11808e-19   427: -0.000693557   428: 0.000115593   429: -0.00079166   430: 0.000131943   433: -0.000190129   434: -9.78323e-20   614: 0.000116412   615: 0.000119847   617: 0.000104433   655: 0.000126753   657: 0.000137134\n",
      "Row 61:   37: 0.00343851   38: 0.00368947   39: 0.00335298   60: 0.00346778   61: 0.021106   63: 0.00339574   77: 0.00376151   297: -0.000187202   298: -6.77626e-21   299: -0.000156649   300: -8.47033e-20   301: -0.000687702   302: -0.000114617   303: -0.000181745   304: -3.38813e-21   305: -0.000737895   306: -0.000122982   309: -0.000670597   310: -0.000111766   311: -0.000153553   312: -3.38813e-21   427: -0.000693557   428: -0.000115593   429: -0.000190129   430: -1.05032e-19   431: -0.000679148   432: 0.000113191   433: -0.000752301   434: 0.000125384   443: -0.000186021   444: -9.52912e-20   616: 0.000124802   617: 0.000104433   618: 0.000121163   621: 0.000102369   655: 0.000126753   656: 0.000124014\n",
      "Row 62:   40: 0.0036872   41: 0.00418774   62: 0.0255401   63: 0.00359222   64: 0.00447913   77: 0.00460372   78: 0.00499009   313: -0.000204529   314: -6.77626e-21   315: -0.00073744   316: -0.000122907   317: -0.000164191   318: -8.97855e-20   321: -0.000837549   322: -0.000139591   323: -0.000214245   324: -5.0822e-21   435: -0.000718445   436: 0.000119741   437: -0.000895827   438: 0.000149304   439: -0.000920744   440: 0.000153457   441: -0.000998018   442: 0.000166336   443: -0.000195032   444: 9.86793e-20   447: -0.000233669   448: -1.19432e-19   507: -0.00026534   508: 1.38913e-19   619: 0.000136353   622: 0.00010946   624: 0.00014283   659: 0.000155779   678: 0.000130021   684: 0.000176894\n",
      "Row 63:   39: 0.00316406   40: 0.00327044   61: 0.00339574   62: 0.00359222   63: 0.017233   77: 0.00381053   307: -0.000162853   308: -3.38813e-21   309: -0.000153553   310: -8.30092e-20   311: -0.000632812   312: -0.000105469   315: -0.000164191   316: -5.0822e-21   317: -0.000654087   318: -0.000109015   431: -0.000679148   432: -0.000113191   433: -0.000186021   434: -9.99499e-20   435: -0.000718445   436: -0.000119741   439: -0.000195032   440: -3.38813e-21   443: -0.000762106   444: 0.000127018   620: 0.000108569   621: 0.000102369   622: 0.00010946   656: 0.000124014   678: 0.000130021\n",
      "Row 64:   41: 0.00436839   42: 0.00459778   62: 0.00447913   64: 0.0278533   65: 0.00470824   78: 0.00485002   82: 0.00484973   319: -0.000222594   320: -6.77626e-21   321: -0.000214245   322: -1.16891e-19   323: -0.000873678   324: -0.000145613   327: -0.000919557   328: -0.000153259   329: -0.000237184   330: -3.38813e-21   437: -0.000895827   438: -0.000149304   441: -0.000233669   442: -1.28749e-19   445: -0.000941648   446: 0.000156941   447: -0.000970004   448: 0.000161667   449: -0.000969946   450: 0.000161658   455: -0.000233639   456: -1.20279e-19   511: -0.000251334   512: 1.29596e-19   623: 0.000148396   624: 0.00014283   626: 0.000158123   659: 0.000155779   665: 0.00015576   666: 0.000167556\n",
      "Row 65:   42: 0.00469907   43: 0.00463998   64: 0.00470824   65: 0.0295218   66: 0.00494182   68: 0.0054127   82: 0.00512003   325: -0.000232722   326: -6.77626e-21   327: -0.000237184   328: -1.30443e-19   329: -0.000939814   330: -0.000156636   333: -0.000927996   334: -0.000154666   335: -0.000231275   336: -5.0822e-21   445: -0.000941648   446: -0.000156941   449: -0.000233639   450: -1.25361e-19   451: -0.000988364   452: 0.000164727   453: -0.00108254   454: 0.000180423   455: -0.00102401   456: 0.000170668   457: -0.000262906   458: -1.34678e-19   469: -0.000278364   470: -1.42302e-19   625: 0.000155148   626: 0.000158123   628: 0.000154184   658: 0.000175271   665: 0.00015576   673: 0.000185576\n",
      "Row 66:   43: 0.00465209   44: 0.00431787   45: 0.00397484   46: 0.00457222   65: 0.00494182   66: 0.0276638   68: 0.00520497   331: -0.000233934   332: -5.0822e-21   333: -0.000231275   334: -1.25361e-19   335: -0.000930419   336: -0.00015507   337: -0.000197853   338: -6.77626e-21   339: -0.000863574   340: -0.000143929   341: -0.000199632   342: -6.77626e-21   343: -0.000794969   344: -0.000132495   347: -0.000914443   348: -0.000152407   349: -0.00025759   350: -5.0822e-21   451: -0.000988364   452: -0.000164727   453: -0.000262906   454: -1.43996e-19   457: -0.00104099   458: 0.000173499   627: 0.000155956   628: 0.000154184   629: 0.000131902   633: 0.000133088   651: 0.000171727   658: 0.000175271\n",
      "Row 67:   47: 0.00516111   48: 0.00477391   67: 0.0289704   68: 0.00507569   69: 0.00491243   80: 0.0046356   81: 0.00441165   351: -0.000237245   352: -5.0822e-21   353: -0.00103222   354: -0.000172037   355: -0.000278867   356: -1.52466e-19   359: -0.000954782   360: -0.00015913   361: -0.000240146   362: -6.77626e-21   459: -0.00101514   460: 0.00016919   461: -0.000982487   462: 0.000163748   463: -0.000927119   464: 0.00015452   465: -0.000882331   466: 0.000147055   467: -0.000228703   468: 1.15196e-19   475: -0.000251097   476: -1.27055e-19   523: -0.000212463   524: -1.09691e-19   630: 0.000158163   632: 0.000185911   635: 0.000160098   661: 0.000167398   663: 0.000152469   664: 0.000141642\n",
      "Row 68:   46: 0.00523255   47: 0.00544531   65: 0.0054127   66: 0.00520497   67: 0.00507569   68: 0.036105   81: 0.00461857   82: 0.00511518   345: -0.000265665   346: -6.77626e-21   347: -0.00025759   348: -1.42302e-19   349: -0.00104651   350: -0.000174418   353: -0.000278867   354: -6.77626e-21   355: -0.00108906   356: -0.00018151   451: -0.000262906   452: -8.47033e-21   453: -0.00108254   454: -0.000180423   455: -0.000278364   456: -1.49078e-19   457: -0.00104099   458: -0.000173499   459: -0.00101514   460: -0.00016919   465: -0.000228703   466: -5.0822e-21   467: -0.000923714   468: 0.000153952   469: -0.00102304   470: 0.000170506   529: -0.000233154   530: -1.18585e-19   631: 0.00017711   632: 0.000185911   651: 0.000171727   658: 0.000175271   663: 0.000152469   673: 0.000185576   680: 0.000155436\n",
      "Row 69:   48: 0.00479145   49: 0.00458901   67: 0.00491243   69: 0.0300526   70: 0.00490431   79: 0.00552485   80: 0.00533053   357: -0.000238999   358: -6.77626e-21   359: -0.000240146   360: -1.32137e-19   361: -0.000958291   362: -0.000159715   365: -0.000917801   366: -0.000152967   367: -0.000219901   368: -5.0822e-21   461: -0.000982487   462: -0.000163748   463: -0.000251097   464: -1.35525e-19   471: -0.000980862   472: 0.000163477   473: -0.00110497   474: 0.000184162   475: -0.00106611   476: 0.000177684   481: -0.00027053   482: -1.36796e-19   517: -0.000281956   518: -1.44419e-19   634: 0.000159333   635: 0.000160098   637: 0.000146601   660: 0.000180353   661: 0.000167398   662: 0.00018797\n",
      "Row 70:   49: 0.00431279   50: 0.00377633   69: 0.00490431   70: 0.0260681   71: 0.00338621   73: 0.0043534   79: 0.00533504   363: -0.000211378   364: -6.77626e-21   365: -0.000219901   366: -1.20279e-19   367: -0.000862558   368: -0.00014376   371: -0.000755265   372: -0.000125878   373: -0.000166255   374: -3.38813e-21   471: -0.000980862   472: -0.000163477   473: -0.00027053   474: -1.4569e-19   477: -0.000677243   478: 0.000112874   479: -0.000870681   480: 0.000145113   481: -0.00106701   482: 0.000177835   483: -0.000172366   484: -8.76679e-20   493: -0.000262974   494: -1.35525e-19   636: 0.000140918   637: 0.000146601   639: 0.000110837   660: 0.000180353   671: 0.000114911   677: 0.000175316\n",
      "Row 71:   50: 0.00330151   51: 0.00323792   52: 0.00325012   70: 0.00338621   71: 0.0165506   73: 0.00337482   369: -0.000163897   370: -3.38813e-21   371: -0.000166255   372: -9.23266e-20   373: -0.000660303   374: -0.00011005   375: -0.000159896   376: -6.77626e-21   377: -0.000647585   378: -0.000107931   381: -0.000650023   382: -0.000108337   383: -0.000165116   384: -1.69407e-21   477: -0.000677243   478: -0.000112874   479: -0.000172366   480: -9.40207e-20   483: -0.000674964   484: 0.000112494   638: 0.000109264   639: 0.000110837   640: 0.000106597   643: 0.000110077   671: 0.000114911\n",
      "Row 72:   53: 0.00443303   54: 0.00452558   72: 0.029243   73: 0.00476093   74: 0.00465456   79: 0.00553389   85: 0.00533497   385: -0.000226621   386: -6.77626e-21   387: -0.000886607   388: -0.000147768   389: -0.000216683   390: -1.16891e-19   393: -0.000905115   394: -0.000150853   395: -0.000225937   396: -3.38813e-21   485: -0.000952186   486: 0.000158698   487: -0.000930911   488: 0.000155152   489: -0.00110678   490: 0.000184463   491: -0.00106699   492: 0.000177832   493: -0.000259411   494: 1.33408e-19   499: -0.000239519   500: -1.23667e-19   519: -0.000293978   520: 1.52466e-19   641: 0.00015108   644: 0.000144455   646: 0.000150625   674: 0.000159679   682: 0.00017294   683: 0.000195985\n",
      "Row 73:   52: 0.00367732   53: 0.00419299   70: 0.0043534   71: 0.00337482   72: 0.00476093   73: 0.0255833   79: 0.00522385   379: -0.000202616   380: -6.77626e-21   381: -0.000165116   382: -8.97855e-20   383: -0.000735463   384: -0.000122577   387: -0.000216683   388: -5.0822e-21   389: -0.000838597   390: -0.000139766   477: -0.000172366   478: -3.38813e-21   479: -0.000870681   480: -0.000145113   481: -0.000262974   482: -1.4569e-19   483: -0.000674964   484: -0.000112494   485: -0.000952186   486: -0.000158698   489: -0.000259411   490: -6.77626e-21   493: -0.00104477   494: 0.000174128   642: 0.000135077   643: 0.000110077   644: 0.000144455   671: 0.000114911   677: 0.000175316   682: 0.00017294\n",
      "Row 74:   54: 0.00447121   55: 0.0041087   72: 0.00465456   74: 0.0262664   75: 0.00387678   84: 0.00436992   85: 0.00478519   391: -0.000221184   392: -6.77626e-21   393: -0.000225937   394: -1.21973e-19   395: -0.000894243   396: -0.00014904   399: -0.000821741   400: -0.000136957   401: -0.000189686   402: -6.77626e-21   487: -0.000930911   488: -0.000155152   491: -0.000239519   492: -1.30443e-19   495: -0.000775357   496: 0.000129226   497: -0.000873984   498: 0.000145664   499: -0.000957038   500: 0.000159506   501: -0.000197992   502: -1.00797e-19   543: -0.000239   544: -1.2282e-19   645: 0.000147456   646: 0.000150625   648: 0.000126457   672: 0.000131995   674: 0.000159679   681: 0.000159333\n",
      "Row 75:   55: 0.00409313   56: 0.00431447   58: 0.00410439   74: 0.00387678   75: 0.0203549   84: 0.00396612   397: -0.000219627   398: -6.77626e-21   399: -0.000189686   400: -1.03338e-19   401: -0.000818627   402: -0.000136438   403: -0.000211819   404: -6.77626e-21   405: -0.000862894   406: -0.000143816   415: -0.000820879   416: -0.000136813   417: -0.00019862   418: -3.38813e-21   495: -0.000775357   496: -0.000129226   497: -0.000197992   498: -1.06726e-19   501: -0.000793224   502: 0.000132204   647: 0.000146418   648: 0.000126457   653: 0.000141213   669: 0.000132413   672: 0.000131995\n",
      "Row 76:   34: 0.00512134   35: 0.0050037   57: 0.00526869   59: 0.00547843   76: 0.0329657   83: 0.00588308   86: 0.00621045   279: -0.00025552   280: -8.47033e-21   281: -0.000256614   282: -1.38913e-19   283: -0.00102427   284: -0.000170711   287: -0.000244851   288: -6.77626e-21   289: -0.00100074   290: -0.00016679   409: -0.00105374   410: -0.000175623   411: -0.000270255   412: -1.47384e-19   421: -0.00109569   422: -0.000182614   425: -0.000302992   426: -1.01644e-20   503: -0.00117662   504: 0.000196103   505: -0.00124209   506: 0.000207015   539: -0.000318053   540: 1.63477e-19   649: 0.000170346   650: 0.000163234   652: 0.000171076   667: 0.00018017   675: 0.000201994   676: 0.000212035\n",
      "Row 77:   59: 0.00532757   60: 0.0039583   61: 0.00376151   62: 0.00460372   63: 0.00381053   77: 0.0341039   78: 0.00601254   86: 0.0066297   419: -0.000205701   420: -5.0822e-21   423: -0.00106551   424: -0.000177586   425: -0.000327056   426: -1.76183e-19   427: -0.000190129   428: -3.38813e-21   429: -0.00079166   430: -0.000131943   431: -0.000186021   432: -5.0822e-21   433: -0.000752301   434: -0.000125384   435: -0.000195032   436: -1.05032e-19   439: -0.000920744   440: -0.000153457   441: -0.00026534   442: -5.0822e-21   443: -0.000762106   444: -0.000127018   507: -0.00120251   508: 0.000200418   509: -0.00132594   510: 0.00022099   513: -0.000335914   514: -1.69407e-19   655: 0.000126753   656: 0.000124014   657: 0.000137134   678: 0.000130021   679: 0.000218037   684: 0.000176894   685: 0.000223943\n",
      "Row 78:   62: 0.00499009   64: 0.00485002   77: 0.00601254   78: 0.0332152   82: 0.00514644   86: 0.00647109   88: 0.00574505   437: -0.000233669   438: -8.47033e-21   439: -0.00026534   440: -1.4569e-19   441: -0.000998018   442: -0.000166336   447: -0.000970004   448: -0.000161667   449: -0.000251334   450: -6.77626e-21   507: -0.00120251   508: -0.000200418   509: -0.000335914   510: -1.79571e-19   511: -0.00102929   512: 0.000171548   513: -0.00129422   514: 0.000215703   515: -0.00114901   516: 0.000191502   533: -0.00026331   534: -1.35525e-19   549: -0.000311195   550: 1.59242e-19   659: 0.000155779   666: 0.000167556   684: 0.000176894   685: 0.000223943   688: 0.000207463   694: 0.00017554\n",
      "Row 79:   69: 0.00552485   70: 0.00533504   72: 0.00553389   73: 0.00522385   79: 0.0397964   80: 0.00588519   85: 0.00608386   87: 0.00620971   471: -0.00027053   472: -8.47033e-21   473: -0.00110497   474: -0.000184162   475: -0.000281956   476: -1.52466e-19   479: -0.000262974   480: -8.47033e-21   481: -0.00106701   482: -0.000177835   485: -0.000259411   486: -1.38913e-19   489: -0.00110678   490: -0.000184463   491: -0.000293978   492: -6.77626e-21   493: -0.00104477   494: -0.000174128   517: -0.00117704   518: 0.000196173   519: -0.00121677   520: 0.000202795   521: -0.00124194   522: 0.00020699   525: -0.000306563   526: 1.5416e-19   545: -0.000314408   546: -1.59242e-19   660: 0.000180353   662: 0.00018797   677: 0.000175316   682: 0.00017294   683: 0.000195985   686: 0.000204375   687: 0.000209605\n",
      "Row 80:   67: 0.0046356   69: 0.00533053   79: 0.00588519   80: 0.0308952   81: 0.00437393   87: 0.00574313   88: 0.0049268   461: -0.000251097   462: -5.0822e-21   463: -0.000927119   464: -0.00015452   465: -0.000212463   466: -1.16891e-19   473: -0.000281956   474: -3.38813e-21   475: -0.00106611   476: -0.000177684   517: -0.00117704   518: -0.000196173   521: -0.000306563   522: -1.01644e-20   523: -0.000874786   524: 0.000145798   525: -0.00114863   526: 0.000191438   527: -0.00098536   528: 0.000164227   531: -0.000224931   532: 1.14349e-19   551: -0.00026775   552: -1.37219e-19   661: 0.000167398   662: 0.00018797   664: 0.000141642   686: 0.000204375   689: 0.0001785   695: 0.000149954\n",
      "Row 81:   67: 0.00441165   68: 0.00461857   80: 0.00437393   81: 0.0223082   82: 0.00449313   88: 0.0044109   459: -0.000228703   460: -1.27055e-19   463: -0.000212463   464: -8.47033e-21   465: -0.000882331   466: -0.000147055   467: -0.000923714   468: -0.000153952   469: -0.000233154   470: -1.28749e-19   523: -0.000874786   524: -0.000145798   527: -0.000224931   528: -6.77626e-21   529: -0.000898627   530: 0.000149771   531: -0.00088218   532: 0.00014703   533: -0.000216159   534: 1.10961e-19   663: 0.000152469   664: 0.000141642   680: 0.000155436   691: 0.000144106   695: 0.000149954\n",
      "Row 82:   64: 0.00484973   65: 0.00512003   68: 0.00511518   78: 0.00514644   81: 0.00449313   82: 0.0295192   88: 0.00479469   445: -0.000233639   446: -6.77626e-21   447: -0.000251334   448: -1.38913e-19   449: -0.000969946   450: -0.000161658   453: -0.000278364   454: -3.38813e-21   455: -0.00102401   456: -0.000170668   467: -0.000233154   468: -8.47033e-21   469: -0.00102304   470: -0.000170506   511: -0.00102929   512: -0.000171548   515: -0.00026331   516: -1.43996e-19   529: -0.000898627   530: -0.000149771   531: -0.000216159   532: -3.38813e-21   533: -0.000958939   534: 0.000159823   665: 0.00015576   666: 0.000167556   673: 0.000185576   680: 0.000155436   691: 0.000144106   694: 0.00017554\n",
      "Row 83:   57: 0.00520938   76: 0.00588308   83: 0.0342304   84: 0.00512549   85: 0.005395   86: 0.00651083   87: 0.00610664   409: -0.000270255   410: -6.77626e-21   411: -0.00104188   412: -0.000173646   413: -0.000250684   414: -1.37219e-19   503: -0.00117662   504: -0.000196103   505: -0.000318053   506: -3.38813e-21   535: -0.0010251   536: 0.00017085   537: -0.001079   538: 0.000179833   539: -0.00130217   540: 0.000217028   541: -0.00122133   542: 0.000203555   543: -0.000261865   544: 1.32984e-19   545: -0.000277634   546: 1.43572e-19   547: -0.00033303   548: -1.69407e-19   667: 0.00018017   670: 0.000167122   676: 0.000212035   690: 0.000174577   692: 0.00022202   693: 0.00018509\n",
      "Row 84:   57: 0.00494587   58: 0.00442523   74: 0.00436992   75: 0.00396612   83: 0.00512549   84: 0.0278413   85: 0.00500866   407: -0.000243903   408: -1.32137e-19   411: -0.000250684   412: -6.77626e-21   413: -0.000989174   414: -0.000164862   415: -0.00019862   416: -1.0842e-19   417: -0.000885046   418: -0.000147508   495: -0.000197992   496: -6.77626e-21   497: -0.000873984   498: -0.000145664   499: -0.000239   500: -1.32137e-19   501: -0.000793224   502: -0.000132204   535: -0.0010251   536: -0.00017085   537: -0.000261865   538: -6.77626e-21   543: -0.00100173   544: 0.000166955   668: 0.000162602   669: 0.000132413   670: 0.000167122   672: 0.000131995   681: 0.000159333   690: 0.000174577\n",
      "Row 85:   72: 0.00533497   74: 0.00478519   79: 0.00608386   83: 0.005395   84: 0.00500866   85: 0.0325281   87: 0.00592042   487: -0.000239519   488: -5.0822e-21   489: -0.000293978   490: -1.60936e-19   491: -0.00106699   492: -0.000177832   497: -0.000239   498: -6.77626e-21   499: -0.000957038   500: -0.000159506   519: -0.00121677   520: -0.000202795   521: -0.000314408   522: -1.71101e-19   535: -0.000261865   536: -1.42302e-19   537: -0.001079   538: -0.000179833   541: -0.000277634   542: -6.77626e-21   543: -0.00100173   544: -0.000166955   545: -0.00118408   546: 0.000197347   674: 0.000159679   681: 0.000159333   683: 0.000195985   687: 0.000209605   690: 0.000174577   693: 0.00018509\n",
      "Row 86:   59: 0.00630048   76: 0.00621045   77: 0.0066297   78: 0.00647109   83: 0.00651083   86: 0.0450629   87: 0.00657935   88: 0.00636099   421: -0.000302992   422: -1.66018e-19   423: -0.000327056   424: -6.77626e-21   425: -0.0012601   426: -0.000210016   503: -0.000318053   504: -1.74489e-19   505: -0.00124209   506: -0.000207015   507: -0.000335914   508: -6.77626e-21   509: -0.00132594   510: -0.00022099   513: -0.00129422   514: -0.000215703   515: -0.000311195   516: -6.77626e-21   539: -0.00130217   540: -0.000217028   541: -0.00033303   542: -1.79571e-19   547: -0.00131587   548: 0.000219312   549: -0.0012722   550: 0.000212033   551: -0.000324904   552: 1.64324e-19   675: 0.000201994   676: 0.000212035   679: 0.000218037   685: 0.000223943   688: 0.000207463   692: 0.00022202   696: 0.000216603\n",
      "Row 87:   79: 0.00620971   80: 0.00574313   83: 0.00610664   85: 0.00592042   86: 0.00657935   87: 0.0364858   88: 0.00592654   517: -0.000306563   518: -1.64324e-19   519: -0.000314408   520: -1.01644e-20   521: -0.00124194   522: -0.00020699   525: -0.00114863   526: -0.000191438   527: -0.00026775   528: -1.47384e-19   537: -0.000277634   538: -1.52466e-19   539: -0.00033303   540: -6.77626e-21   541: -0.00122133   542: -0.000203555   545: -0.00118408   546: -0.000197347   547: -0.00131587   548: -0.000219312   549: -0.000324904   550: -1.01644e-20   551: -0.00118531   552: 0.000197551   686: 0.000204375   687: 0.000209605   689: 0.0001785   692: 0.00022202   693: 0.00018509   696: 0.000216603\n",
      "Row 88:   78: 0.00574505   80: 0.0049268   81: 0.0044109   82: 0.00479469   86: 0.00636099   87: 0.00592654   88: 0.032165   511: -0.00026331   512: -5.0822e-21   513: -0.000311195   514: -1.67713e-19   515: -0.00114901   516: -0.000191502   523: -0.000224931   524: -1.21973e-19   525: -0.00026775   526: -5.0822e-21   527: -0.00098536   528: -0.000164227   529: -0.000216159   530: -1.15196e-19   531: -0.00088218   532: -0.00014703   533: -0.000958939   534: -0.000159823   547: -0.000324904   548: -1.74489e-19   549: -0.0012722   550: -0.000212033   551: -0.00118531   552: -0.000197551   688: 0.000207463   689: 0.0001785   691: 0.000144106   694: 0.00017554   695: 0.000149954   696: 0.000216603\n",
      "Row 89:   0: -0.000520833   4: -0.000520833   31: -0.000260417   89: 8.68056e-05   90: 4.23516e-22   91: 4.34028e-05   92: -6.2004e-06   111: 4.34028e-05   112: -6.2004e-06   553: -2.48016e-05\n",
      "Row 90:   0: 8.68056e-05   4: -8.68056e-05   31: -5.0822e-21   89: 4.23516e-22   90: 9.3006e-06   91: -6.2004e-06   92: 3.1002e-06   111: 6.2004e-06   112: -3.1002e-06   553: -1.05879e-21\n",
      "Row 91:   0: -0.000520833   4: -0.000260417   31: -0.000520833   89: 4.34028e-05   90: -6.2004e-06   91: 8.68056e-05   92: 1.86347e-20   111: 4.34028e-05   112: 6.2004e-06   553: -2.48016e-05\n",
      "Row 92:   0: 8.68056e-05   4: -1.42302e-19   31: -8.68056e-05   89: -6.2004e-06   90: 3.1002e-06   91: 1.86347e-20   92: 9.3006e-06   111: 6.2004e-06   112: 3.1002e-06   553: -1.10114e-20\n",
      "Row 93:   1: -0.000447029   10: -0.000447029   38: -0.000223514   93: 7.45048e-05   94: 1.77877e-20   97: 3.72524e-05   98: -5.32177e-06   147: 3.72524e-05   148: -5.32177e-06   565: -2.12871e-05\n",
      "Row 94:   1: 7.45048e-05   10: -7.45048e-05   38: -1.21973e-19   93: 1.77877e-20   94: 7.98265e-06   97: -5.32177e-06   98: 2.66088e-06   147: 5.32177e-06   148: -2.66088e-06   565: -9.42324e-21\n",
      "Row 95:   1: -0.000433972   11: -0.000433972   38: -0.000216986   95: 7.23287e-05   96: 0   97: 3.61643e-05   98: -5.16633e-06   151: 3.61643e-05   152: -5.16633e-06   567: -2.06653e-05\n",
      "Row 96:   1: 7.23287e-05   11: -7.23287e-05   38: -5.0822e-21   95: 0   96: 7.7495e-06   97: -5.16633e-06   98: 2.58317e-06   151: 5.16633e-06   152: -2.58317e-06   567: -9.52912e-22\n",
      "Row 97:   1: -0.000881   10: -0.000223514   11: -0.000216986   38: -0.000881   93: 3.72524e-05   94: -5.32177e-06   95: 3.61643e-05   96: -5.16633e-06   97: 0.000146833   98: 1.65171e-20   147: 3.72524e-05   148: 5.32177e-06   151: 3.61643e-05   152: 5.16633e-06   565: -2.12871e-05   567: -2.06653e-05\n",
      "Row 98:   1: 0.000146833   10: -3.38813e-21   11: -1.18585e-19   38: -0.000146833   93: -5.32177e-06   94: 2.66088e-06   95: -5.16633e-06   96: 2.58317e-06   97: 1.65171e-20   98: 1.57322e-05   147: 5.32177e-06   148: 2.66088e-06   151: 5.16633e-06   152: 2.58317e-06   565: -9.52912e-22   567: -9.31736e-21\n",
      "Row 99:   2: -0.000520833   17: -0.000520833   18: -0.000260417   99: 8.68056e-05   100: 1.86347e-20   101: 4.34028e-05   102: -6.2004e-06   185: 4.34028e-05   186: -6.2004e-06   580: -2.48016e-05\n",
      "Row 100:   2: 8.68056e-05   17: -8.68056e-05   18: -1.42302e-19   99: 1.86347e-20   100: 9.3006e-06   101: -6.2004e-06   102: 3.1002e-06   185: 6.2004e-06   186: -3.1002e-06   580: -1.12232e-20\n",
      "Row 101:   2: -0.000520833   17: -0.000260417   18: -0.000520833   99: 4.34028e-05   100: -6.2004e-06   101: 8.68056e-05   102: 4.23516e-22   185: 4.34028e-05   186: 6.2004e-06   580: -2.48016e-05\n",
      "Row 102:   2: 8.68056e-05   17: -5.0822e-21   18: -8.68056e-05   99: -6.2004e-06   100: 3.1002e-06   101: 4.23516e-22   102: 9.3006e-06   185: 6.2004e-06   186: 3.1002e-06   580: -1.27055e-21\n",
      "Row 103:   3: -0.000432041   24: -0.000432041   51: -0.00021602   103: 7.20068e-05   104: 1.60936e-20   107: 3.60034e-05   108: -5.14334e-06   227: 3.60034e-05   228: -5.14334e-06   592: -2.05734e-05\n",
      "Row 104:   3: 7.20068e-05   24: -7.20068e-05   51: -1.18585e-19   103: 1.60936e-20   104: 7.71501e-06   107: -5.14334e-06   108: 2.57167e-06   227: 5.14334e-06   228: -2.57167e-06   592: -9.1056e-21\n",
      "Row 105:   3: -0.000421019   25: -0.000421019   51: -0.000210509   105: 7.01698e-05   106: 4.23516e-22   107: 3.50849e-05   108: -5.01213e-06   231: 3.50849e-05   232: -5.01213e-06   594: -2.00485e-05\n",
      "Row 106:   3: 7.01698e-05   25: -7.01698e-05   51: -5.0822e-21   105: 4.23516e-22   106: 7.51819e-06   107: -5.01213e-06   108: 2.50606e-06   231: 5.01213e-06   232: -2.50606e-06   594: -8.47033e-22\n",
      "Row 107:   3: -0.00085306   24: -0.00021602   25: -0.000210509   51: -0.00085306   103: 3.60034e-05   104: -5.14334e-06   105: 3.50849e-05   106: -5.01213e-06   107: 0.000142177   108: 1.65171e-20   227: 3.60034e-05   228: 5.14334e-06   231: 3.50849e-05   232: 5.01213e-06   592: -2.05734e-05   594: -2.00485e-05\n",
      "Row 108:   3: 0.000142177   24: -6.77626e-21   25: -1.13502e-19   51: -0.000142177   103: -5.14334e-06   104: 2.57167e-06   105: -5.01213e-06   106: 2.50606e-06   107: 1.65171e-20   108: 1.52332e-05   227: 5.14334e-06   228: 2.57167e-06   231: 5.01213e-06   232: 2.50606e-06   592: -8.47033e-22   594: -8.89385e-21\n",
      "Row 109:   4: -0.000514517   5: -0.000514517   32: -0.000257259   109: 8.57529e-05   110: -4.23516e-22   113: 4.28764e-05   114: -6.12521e-06   117: 4.28764e-05   118: -6.12521e-06   554: -2.45008e-05\n",
      "Row 110:   4: 8.57529e-05   5: -8.57529e-05   32: -6.77626e-21   109: -4.23516e-22   110: 9.18781e-06   113: -6.12521e-06   114: 3.0626e-06   117: 6.12521e-06   118: -3.0626e-06   554: -1.05879e-21\n",
      "Row 111:   0: -0.000260417   4: -0.00121477   31: -0.00121477   32: -0.000346966   89: 4.34028e-05   90: 6.2004e-06   91: 4.34028e-05   92: 6.2004e-06   111: 0.000202461   112: 4.82809e-20   113: 5.78277e-05   114: -8.2611e-06   263: 5.78277e-05   264: -8.2611e-06   553: -2.48016e-05   606: -3.30444e-05\n",
      "Row 112:   0: -1.32984e-19   4: 0.000202461   31: -0.000202461   32: -1.91429e-19   89: -6.2004e-06   90: -3.1002e-06   91: 6.2004e-06   92: 3.1002e-06   111: 4.82809e-20   112: 2.16923e-05   113: -8.2611e-06   114: 4.13055e-06   263: 8.2611e-06   264: -4.13055e-06   553: -1.03762e-20   606: -1.50348e-20\n",
      "Row 113:   4: -0.00120845   5: -0.000257259   31: -0.000346966   32: -0.00120845   109: 4.28764e-05   110: -6.12521e-06   111: 5.78277e-05   112: -8.2611e-06   113: 0.000201408   114: 1.77877e-20   117: 4.28764e-05   118: 6.12521e-06   263: 5.78277e-05   264: 8.2611e-06   554: -2.45008e-05   606: -3.30444e-05\n",
      "Row 114:   4: 0.000201408   5: -1.40607e-19   31: -6.77626e-21   32: -0.000201408   109: -6.12521e-06   110: 3.0626e-06   111: -8.2611e-06   112: 4.13055e-06   113: 1.77877e-20   114: 2.15795e-05   117: 6.12521e-06   118: 3.0626e-06   263: 8.2611e-06   264: 4.13055e-06   554: -1.07997e-20   606: -2.32934e-21\n",
      "Row 115:   5: -0.000497173   6: -0.000497173   33: -0.000248586   115: 8.28621e-05   116: 8.47033e-22   119: 4.14311e-05   120: -5.91872e-06   123: 4.14311e-05   124: -5.91872e-06   555: -2.36749e-05\n",
      "Row 116:   5: 8.28621e-05   6: -8.28621e-05   33: -6.77626e-21   115: 8.47033e-22   116: 8.87808e-06   119: -5.91872e-06   120: 2.95936e-06   123: 5.91872e-06   124: -2.95936e-06   555: -1.27055e-21\n",
      "Row 117:   4: -0.000257259   5: -0.00106171   32: -0.00106171   33: -0.000273595   109: 4.28764e-05   110: 6.12521e-06   113: 4.28764e-05   114: 6.12521e-06   117: 0.000176951   118: 4.02341e-20   119: 4.55991e-05   120: -6.51416e-06   267: 4.55991e-05   268: -6.51416e-06   554: -2.45008e-05   556: -2.60566e-05\n",
      "Row 118:   4: -1.29173e-19   5: 0.000176951   32: -0.000176951   33: -1.49078e-19   109: -6.12521e-06   110: -3.0626e-06   113: 6.12521e-06   114: 3.0626e-06   117: 4.02341e-20   118: 1.89591e-05   119: -6.51416e-06   120: 3.25708e-06   267: 6.51416e-06   268: -3.25708e-06   554: -9.74088e-21   556: -1.19643e-20\n",
      "Row 119:   5: -0.00104436   6: -0.000248586   32: -0.000273595   33: -0.00104436   115: 4.14311e-05   116: -5.91872e-06   117: 4.55991e-05   118: -6.51416e-06   119: 0.00017406   120: 1.94818e-20   123: 4.14311e-05   124: 5.91872e-06   267: 4.55991e-05   268: 6.51416e-06   555: -2.36749e-05   556: -2.60566e-05\n",
      "Row 120:   5: 0.00017406   6: -1.35525e-19   32: -6.77626e-21   33: -0.00017406   115: -5.91872e-06   116: 2.95936e-06   117: -6.51416e-06   118: 3.25708e-06   119: 1.94818e-20   120: 1.86493e-05   123: 5.91872e-06   124: 2.95936e-06   267: 6.51416e-06   268: 3.25708e-06   555: -1.05879e-20   556: -1.27055e-21\n",
      "Row 121:   6: -0.000498715   7: -0.000498715   34: -0.000249358   121: 8.31192e-05   122: 4.23516e-22   125: 4.15596e-05   126: -5.93708e-06   129: 4.15596e-05   130: -5.93708e-06   557: -2.37483e-05\n",
      "Row 122:   6: 8.31192e-05   7: -8.31192e-05   34: -6.77626e-21   121: 4.23516e-22   122: 8.90563e-06   125: -5.93708e-06   126: 2.96854e-06   129: 5.93708e-06   130: -2.96854e-06   557: -8.47033e-22\n",
      "Row 123:   5: -0.000248586   6: -0.00100378   33: -0.00100378   34: -0.000253303   115: 4.14311e-05   116: 5.91872e-06   119: 4.14311e-05   120: 5.91872e-06   123: 0.000167296   124: 3.854e-20   125: 4.22171e-05   126: -6.03102e-06   273: 4.22171e-05   274: -6.03102e-06   555: -2.36749e-05   558: -2.41241e-05\n",
      "Row 124:   5: -1.26208e-19   6: 0.000167296   33: -0.000167296   34: -1.37219e-19   115: -5.91872e-06   116: -2.95936e-06   119: 5.91872e-06   120: 2.95936e-06   123: 3.854e-20   124: 1.79246e-05   125: -6.03102e-06   126: 3.01551e-06   273: 6.03102e-06   274: -3.01551e-06   555: -9.74088e-21   558: -1.11173e-20\n",
      "Row 125:   6: -0.00100532   7: -0.000249358   33: -0.000253303   34: -0.00100532   121: 4.15596e-05   122: -5.93708e-06   123: 4.22171e-05   124: -6.03102e-06   125: 0.000167553   126: 1.86347e-20   129: 4.15596e-05   130: 5.93708e-06   273: 4.22171e-05   274: 6.03102e-06   557: -2.37483e-05   558: -2.41241e-05\n",
      "Row 126:   6: 0.000167553   7: -1.37219e-19   33: -6.77626e-21   34: -0.000167553   121: -5.93708e-06   122: 2.96854e-06   123: -6.03102e-06   124: 3.01551e-06   125: 1.86347e-20   126: 1.79522e-05   129: 5.93708e-06   130: 2.96854e-06   273: 6.03102e-06   274: 3.01551e-06   557: -1.06938e-20   558: -1.16467e-21\n",
      "Row 127:   7: -0.000479535   8: -0.000479535   35: -0.000239768   127: 7.99225e-05   128: 4.23516e-22   131: 3.99613e-05   132: -5.70875e-06   135: 3.99613e-05   136: -5.70875e-06   559: -2.2835e-05\n",
      "Row 128:   7: 7.99225e-05   8: -7.99225e-05   35: -6.77626e-21   127: 4.23516e-22   128: 8.56313e-06   131: -5.70875e-06   132: 2.85438e-06   135: 5.70875e-06   136: -2.85438e-06   559: -1.05879e-21\n",
      "Row 129:   6: -0.000249358   7: -0.000975163   34: -0.000975163   35: -0.000238224   121: 4.15596e-05   122: 5.93708e-06   125: 4.15596e-05   126: 5.93708e-06   129: 0.000162527   130: 3.89635e-20   131: 3.9704e-05   132: -5.67199e-06   279: 3.9704e-05   280: -5.67199e-06   557: -2.37483e-05   560: -2.2688e-05\n",
      "Row 130:   6: -1.27902e-19   7: 0.000162527   34: -0.000162527   35: -1.30443e-19   121: -5.93708e-06   122: -2.96854e-06   125: 5.93708e-06   126: 2.96854e-06   129: 3.89635e-20   130: 1.74136e-05   131: -5.67199e-06   132: 2.836e-06   279: 5.67199e-06   280: -2.836e-06   557: -1.00585e-20   560: -1.03762e-20\n",
      "Row 131:   7: -0.000955983   8: -0.000239768   34: -0.000238224   35: -0.000955983   127: 3.99613e-05   128: -5.70875e-06   129: 3.9704e-05   130: -5.67199e-06   131: 0.00015933   132: 1.77877e-20   135: 3.99613e-05   136: 5.70875e-06   279: 3.9704e-05   280: 5.67199e-06   559: -2.2835e-05   560: -2.2688e-05\n",
      "Row 132:   7: 0.00015933   8: -1.32137e-19   34: -5.0822e-21   35: -0.00015933   127: -5.70875e-06   128: 2.85438e-06   129: -5.67199e-06   130: 2.836e-06   131: 1.77877e-20   132: 1.70711e-05   135: 5.70875e-06   136: 2.85438e-06   279: 5.67199e-06   280: 2.836e-06   559: -1.00585e-20   560: -1.37643e-21\n",
      "Row 133:   8: -0.000423111   9: -0.000423111   36: -0.000211555   133: 7.05185e-05   134: -4.23516e-22   137: 3.52592e-05   138: -5.03704e-06   141: 3.52592e-05   142: -5.03704e-06   561: -2.01481e-05\n",
      "Row 134:   8: 7.05185e-05   9: -7.05185e-05   36: -6.77626e-21   133: -4.23516e-22   134: 7.55555e-06   137: -5.03704e-06   138: 2.51852e-06   141: 5.03704e-06   142: -2.51852e-06   561: -1.05879e-21\n",
      "Row 135:   7: -0.000239768   8: -0.000893517   35: -0.000893517   36: -0.000206991   127: 3.99613e-05   128: 5.70875e-06   131: 3.99613e-05   132: 5.70875e-06   135: 0.000148919   136: 3.21873e-20   137: 3.44985e-05   138: -4.92835e-06   285: 3.44985e-05   286: -4.92835e-06   559: -2.2835e-05   562: -1.97134e-05\n",
      "Row 136:   7: -1.21973e-19   8: 0.000148919   35: -0.000148919   36: -1.11808e-19   127: -5.70875e-06   128: -2.85438e-06   131: 5.70875e-06   132: 2.85438e-06   135: 3.21873e-20   136: 1.59557e-05   137: -4.92835e-06   138: 2.46418e-06   285: 4.92835e-06   286: -2.46418e-06   559: -9.42324e-21   562: -9.1056e-21\n",
      "Row 137:   8: -0.000837092   9: -0.000211555   35: -0.000206991   36: -0.000837092   133: 3.52592e-05   134: -5.03704e-06   135: 3.44985e-05   136: -4.92835e-06   137: 0.000139515   138: 1.56701e-20   141: 3.52592e-05   142: 5.03704e-06   285: 3.44985e-05   286: 4.92835e-06   561: -2.01481e-05   562: -1.97134e-05\n",
      "Row 138:   8: 0.000139515   9: -1.15196e-19   35: -6.77626e-21   36: -0.000139515   133: -5.03704e-06   134: 2.51852e-06   135: -4.92835e-06   136: 2.46418e-06   137: 1.56701e-20   138: 1.49481e-05   141: 5.03704e-06   142: 2.51852e-06   285: 4.92835e-06   286: 2.46418e-06   561: -9.21148e-21   562: -1.27055e-21\n",
      "Row 139:   9: -0.000408861   10: -0.000408861   37: -0.000204431   139: 6.81435e-05   140: 0   143: 3.40718e-05   144: -4.8674e-06   145: 3.40718e-05   146: -4.8674e-06   563: -1.94696e-05\n",
      "Row 140:   9: 6.81435e-05   10: -6.81435e-05   37: -5.0822e-21   139: 0   140: 7.30109e-06   143: -4.8674e-06   144: 2.4337e-06   145: 4.8674e-06   146: -2.4337e-06   563: -8.47033e-22\n",
      "Row 141:   8: -0.000211555   9: -0.000807741   36: -0.000807741   37: -0.000192315   133: 3.52592e-05   134: 5.03704e-06   137: 3.52592e-05   138: 5.03704e-06   141: 0.000134624   142: 3.17637e-20   143: 3.20525e-05   144: -4.57893e-06   291: 3.20525e-05   292: -4.57893e-06   561: -2.01481e-05   564: -1.83157e-05\n",
      "Row 142:   8: -1.0842e-19   9: 0.000134624   36: -0.000134624   37: -1.05032e-19   133: -5.03704e-06   134: -2.51852e-06   137: 5.03704e-06   138: 2.51852e-06   141: 3.17637e-20   142: 1.4424e-05   143: -4.57893e-06   144: 2.28947e-06   291: 4.57893e-06   292: -2.28947e-06   561: -8.25857e-21   564: -8.25857e-21\n",
      "Row 143:   9: -0.000793492   10: -0.000204431   36: -0.000192315   37: -0.000793492   139: 3.40718e-05   140: -4.8674e-06   141: 3.20525e-05   142: -4.57893e-06   143: 0.000132249   144: 1.56701e-20   145: 3.40718e-05   146: 4.8674e-06   291: 3.20525e-05   292: 4.57893e-06   563: -1.94696e-05   564: -1.83157e-05\n",
      "Row 144:   9: 0.000132249   10: -1.13502e-19   36: -6.77626e-21   37: -0.000132249   139: -4.8674e-06   140: 2.4337e-06   141: -4.57893e-06   142: 2.28947e-06   143: 1.56701e-20   144: 1.41695e-05   145: 4.8674e-06   146: 2.4337e-06   291: 4.57893e-06   292: 2.28947e-06   563: -8.99973e-21   564: -8.47033e-22\n",
      "Row 145:   9: -0.000204431   10: -0.000796339   37: -0.000796339   38: -0.000193739   139: 3.40718e-05   140: 4.8674e-06   143: 3.40718e-05   144: 4.8674e-06   145: 0.000132723   146: 3.13402e-20   147: 3.22898e-05   148: -4.61283e-06   297: 3.22898e-05   298: -4.61283e-06   563: -1.94696e-05   566: -1.84513e-05\n",
      "Row 146:   9: -1.05456e-19   10: 0.000132723   37: -0.000132723   38: -1.03338e-19   139: -4.8674e-06   140: -2.4337e-06   143: 4.8674e-06   144: 2.4337e-06   145: 3.13402e-20   146: 1.42203e-05   147: -4.61283e-06   148: 2.30641e-06   297: 4.61283e-06   298: -2.30641e-06   563: -7.94093e-21   566: -8.25857e-21\n",
      "Row 147:   1: -0.000223514   10: -0.000834506   37: -0.000193739   38: -0.000834506   93: 3.72524e-05   94: 5.32177e-06   97: 3.72524e-05   98: 5.32177e-06   145: 3.22898e-05   146: -4.61283e-06   147: 0.000139084   148: -1.77877e-20   297: 3.22898e-05   298: 4.61283e-06   565: -2.12871e-05   566: -1.84513e-05\n",
      "Row 148:   1: 1.14349e-19   10: 0.000139084   37: -3.38813e-21   38: -0.000139084   93: -5.32177e-06   94: -2.66088e-06   97: 5.32177e-06   98: 2.66088e-06   145: -4.61283e-06   146: 2.30641e-06   147: -1.77877e-20   148: 1.49019e-05   297: 4.61283e-06   298: 2.30641e-06   565: 8.89385e-21   566: -1.05879e-21\n",
      "Row 149:   11: -0.000383105   12: -0.000383105   39: -0.000191553   149: 6.38509e-05   150: 4.23516e-22   153: 3.19254e-05   154: -4.56078e-06   157: 3.19254e-05   158: -4.56078e-06   568: -1.82431e-05\n",
      "Row 150:   11: 6.38509e-05   12: -6.38509e-05   39: -5.0822e-21   149: 4.23516e-22   150: 6.84117e-06   153: -4.56078e-06   154: 2.28039e-06   157: 4.56078e-06   158: -2.28039e-06   568: -6.35275e-22\n",
      "Row 151:   1: -0.000216986   11: -0.000817495   38: -0.000817495   39: -0.000191761   95: 3.61643e-05   96: 5.16633e-06   97: 3.61643e-05   98: 5.16633e-06   151: 0.000136249   152: 3.04932e-20   153: 3.19602e-05   154: -4.56575e-06   303: 3.19602e-05   304: -4.56575e-06   567: -2.06653e-05   569: -1.8263e-05\n",
      "Row 152:   1: -1.11385e-19   11: 0.000136249   38: -0.000136249   39: -1.03338e-19   95: -5.16633e-06   96: -2.58317e-06   97: 5.16633e-06   98: 2.58317e-06   151: 3.04932e-20   152: 1.45981e-05   153: -4.56575e-06   154: 2.28287e-06   303: 4.56575e-06   304: -2.28287e-06   567: -8.25857e-21   569: -8.36445e-21\n",
      "Row 153:   11: -0.000766628   12: -0.000191553   38: -0.000191761   39: -0.000766628   149: 3.19254e-05   150: -4.56078e-06   151: 3.19602e-05   152: -4.56575e-06   153: 0.000127771   154: 1.52466e-20   157: 3.19254e-05   158: 4.56078e-06   303: 3.19602e-05   304: 4.56575e-06   568: -1.82431e-05   569: -1.8263e-05\n",
      "Row 154:   11: 0.000127771   12: -1.06726e-19   38: -5.0822e-21   39: -0.000127771   149: -4.56078e-06   150: 2.28039e-06   151: -4.56575e-06   152: 2.28287e-06   153: 1.52466e-20   154: 1.36898e-05   157: 4.56078e-06   158: 2.28039e-06   303: 4.56575e-06   304: 2.28287e-06   568: -8.04681e-21   569: -9.52912e-22\n",
      "Row 155:   12: -0.000380794   13: -0.000380794   40: -0.000190397   155: 6.34656e-05   156: -4.23516e-22   159: 3.17328e-05   160: -4.53326e-06   163: 3.17328e-05   164: -4.53326e-06   570: -1.8133e-05\n",
      "Row 156:   12: 6.34656e-05   13: -6.34656e-05   40: -3.38813e-21   155: -4.23516e-22   156: 6.79989e-06   159: -4.53326e-06   160: 2.26663e-06   163: 4.53326e-06   164: -2.26663e-06   570: -9.52912e-22\n",
      "Row 157:   11: -0.000191553   12: -0.000743947   39: -0.000743947   40: -0.000180421   149: 3.19254e-05   150: 4.56078e-06   153: 3.19254e-05   154: 4.56078e-06   157: 0.000123991   158: 2.66815e-20   159: 3.00702e-05   160: -4.29574e-06   307: 3.00702e-05   308: -4.29574e-06   568: -1.82431e-05   571: -1.71829e-05\n",
      "Row 158:   11: -9.78323e-20   12: 0.000123991   39: -0.000123991   40: -9.99499e-20   149: -4.56078e-06   150: -2.28039e-06   153: 4.56078e-06   154: 2.28039e-06   157: 2.66815e-20   158: 1.32848e-05   159: -4.29574e-06   160: 2.14787e-06   307: 4.29574e-06   308: -2.14787e-06   568: -7.72918e-21   571: -7.72918e-21\n",
      "Row 159:   12: -0.000741635   13: -0.000190397   39: -0.000180421   40: -0.000741635   155: 3.17328e-05   156: -4.53326e-06   157: 3.00702e-05   158: -4.29574e-06   159: 0.000123606   160: 1.60936e-20   163: 3.17328e-05   164: 4.53326e-06   307: 3.00702e-05   308: 4.29574e-06   570: -1.8133e-05   571: -1.71829e-05\n",
      "Row 160:   12: 0.000123606   13: -1.01644e-19   39: -5.0822e-21   40: -0.000123606   155: -4.53326e-06   156: 2.26663e-06   157: -4.29574e-06   158: 2.14787e-06   159: 1.60936e-20   160: 1.32435e-05   163: 4.53326e-06   164: 2.26663e-06   307: 4.29574e-06   308: 2.14787e-06   570: -8.36445e-21   571: -1.05879e-21\n",
      "Row 161:   13: -0.000424269   14: -0.000424269   41: -0.000212135   161: 7.07116e-05   162: 0   165: 3.53558e-05   166: -5.05083e-06   169: 3.53558e-05   170: -5.05083e-06   572: -2.02033e-05\n",
      "Row 162:   13: 7.07116e-05   14: -7.07116e-05   41: -3.38813e-21   161: 0   162: 7.57624e-06   165: -5.05083e-06   166: 2.52541e-06   169: 5.05083e-06   170: -2.52541e-06   572: -1.16467e-21\n",
      "Row 163:   12: -0.000190397   13: -0.000755272   40: -0.000755272   41: -0.000187239   155: 3.17328e-05   156: 4.53326e-06   159: 3.17328e-05   160: 4.53326e-06   163: 0.000125879   164: 2.83756e-20   165: 3.12065e-05   166: -4.45807e-06   313: 3.12065e-05   314: -4.45807e-06   570: -1.8133e-05   573: -1.78323e-05\n",
      "Row 164:   12: -9.57147e-20   13: 0.000125879   40: -0.000125879   41: -1.01644e-19   155: -4.53326e-06   156: -2.26663e-06   159: 4.53326e-06   160: 2.26663e-06   163: 2.83756e-20   164: 1.3487e-05   165: -4.45807e-06   166: 2.22904e-06   313: 4.45807e-06   314: -2.22904e-06   570: -7.41154e-21   573: -8.25857e-21\n",
      "Row 165:   13: -0.000798747   14: -0.000212135   40: -0.000187239   41: -0.000798747   161: 3.53558e-05   162: -5.05083e-06   163: 3.12065e-05   164: -4.45807e-06   165: 0.000133125   166: 1.65171e-20   169: 3.53558e-05   170: 5.05083e-06   313: 3.12065e-05   314: 4.45807e-06   572: -2.02033e-05   573: -1.78323e-05\n",
      "Row 166:   13: 0.000133125   14: -1.15196e-19   40: -6.77626e-21   41: -0.000133125   161: -5.05083e-06   162: 2.52541e-06   163: -4.45807e-06   164: 2.22904e-06   165: 1.65171e-20   166: 1.42633e-05   169: 5.05083e-06   170: 2.52541e-06   313: 4.45807e-06   314: 2.22904e-06   572: -8.89385e-21   573: -1.16467e-21\n",
      "Row 167:   14: -0.000446363   15: -0.000446363   42: -0.000223181   167: 7.43938e-05   168: 0   171: 3.71969e-05   172: -5.31384e-06   175: 3.71969e-05   176: -5.31384e-06   574: -2.12554e-05\n",
      "Row 168:   14: 7.43938e-05   15: -7.43938e-05   42: -8.47033e-21   167: 0   168: 7.97077e-06   171: -5.31384e-06   172: 2.65692e-06   175: 5.31384e-06   176: -2.65692e-06   574: -1.05879e-21\n",
      "Row 169:   13: -0.000212135   14: -0.000852998   41: -0.000852998   42: -0.000214364   161: 3.53558e-05   162: 5.05083e-06   165: 3.53558e-05   166: 5.05083e-06   169: 0.000142166   170: 3.30343e-20   171: 3.57274e-05   172: -5.10391e-06   319: 3.57274e-05   320: -5.10391e-06   572: -2.02033e-05   575: -2.04157e-05\n",
      "Row 170:   13: -1.07997e-19   14: 0.000142166   41: -0.000142166   42: -1.15196e-19   161: -5.05083e-06   162: -2.52541e-06   165: 5.05083e-06   166: 2.52541e-06   169: 3.30343e-20   170: 1.52321e-05   171: -5.10391e-06   172: 2.55196e-06   319: 5.10391e-06   320: -2.55196e-06   572: -8.25857e-21   575: -9.21148e-21\n",
      "Row 171:   14: -0.000875092   15: -0.000223181   41: -0.000214364   42: -0.000875092   167: 3.71969e-05   168: -5.31384e-06   169: 3.57274e-05   170: -5.10391e-06   171: 0.000145849   172: 1.56701e-20   175: 3.71969e-05   176: 5.31384e-06   319: 3.57274e-05   320: 5.10391e-06   574: -2.12554e-05   575: -2.04157e-05\n",
      "Row 172:   14: 0.000145849   15: -1.23667e-19   41: -5.0822e-21   42: -0.000145849   167: -5.31384e-06   168: 2.65692e-06   169: -5.10391e-06   170: 2.55196e-06   171: 1.56701e-20   172: 1.56266e-05   175: 5.31384e-06   176: 2.65692e-06   319: 5.10391e-06   320: 2.55196e-06   574: -9.42324e-21   575: -1.05879e-21\n",
      "Row 173:   15: -0.000448896   16: -0.000448896   43: -0.000224448   173: 7.48159e-05   174: 0   177: 3.7408e-05   178: -5.34399e-06   181: 3.7408e-05   182: -5.34399e-06   576: -2.1376e-05\n",
      "Row 174:   15: 7.48159e-05   16: -7.48159e-05   43: -5.0822e-21   173: 0   174: 8.01599e-06   177: -5.34399e-06   178: 2.672e-06   181: 5.34399e-06   182: -2.672e-06   576: -1.05879e-21\n",
      "Row 175:   14: -0.000223181   15: -0.000899072   42: -0.000899072   43: -0.000226354   167: 3.71969e-05   168: 5.31384e-06   171: 3.71969e-05   172: 5.31384e-06   175: 0.000149845   176: 3.43048e-20   177: 3.77257e-05   178: -5.38939e-06   325: 3.77257e-05   326: -5.38939e-06   574: -2.12554e-05   577: -2.15576e-05\n",
      "Row 176:   14: -1.16467e-19   15: 0.000149845   42: -0.000149845   43: -1.25361e-19   167: -5.31384e-06   168: -2.65692e-06   171: 5.31384e-06   172: 2.65692e-06   175: 3.43048e-20   176: 1.60549e-05   177: -5.38939e-06   178: 2.6947e-06   325: 5.38939e-06   326: -2.6947e-06   574: -8.57621e-21   577: -9.95264e-21\n",
      "Row 177:   15: -0.000901604   16: -0.000224448   42: -0.000226354   43: -0.000901604   173: 3.7408e-05   174: -5.34399e-06   175: 3.77257e-05   176: -5.38939e-06   177: 0.000150267   178: 1.69407e-20   181: 3.7408e-05   182: 5.34399e-06   325: 3.77257e-05   326: 5.38939e-06   576: -2.1376e-05   577: -2.15576e-05\n",
      "Row 178:   15: 0.000150267   16: -1.21973e-19   42: -8.47033e-21   43: -0.000150267   173: -5.34399e-06   174: 2.672e-06   175: -5.38939e-06   176: 2.6947e-06   177: 1.69407e-20   178: 1.61001e-05   181: 5.34399e-06   182: 2.672e-06   325: 5.38939e-06   326: 2.6947e-06   576: -9.74088e-21   577: -1.37643e-21\n",
      "Row 179:   16: -0.000430848   17: -0.000430848   44: -0.000215424   179: 7.1808e-05   180: 4.23516e-22   183: 3.5904e-05   184: -5.12914e-06   187: 3.5904e-05   188: -5.12914e-06   578: -2.05166e-05\n",
      "Row 180:   16: 7.1808e-05   17: -7.1808e-05   44: -5.0822e-21   179: 4.23516e-22   180: 7.69372e-06   183: -5.12914e-06   184: 2.56457e-06   187: 5.12914e-06   188: -2.56457e-06   578: -1.05879e-21\n",
      "Row 181:   15: -0.000224448   16: -0.000903405   43: -0.000903405   44: -0.000227255   173: 3.7408e-05   174: 5.34399e-06   177: 3.7408e-05   178: 5.34399e-06   181: 0.000150567   182: 3.43048e-20   183: 3.78758e-05   184: -5.41083e-06   331: 3.78758e-05   332: -5.41083e-06   576: -2.1376e-05   579: -2.16433e-05\n",
      "Row 182:   15: -1.15196e-19   16: 0.000150567   43: -0.000150567   44: -1.23667e-19   173: -5.34399e-06   174: -2.672e-06   177: 5.34399e-06   178: 2.672e-06   181: 3.43048e-20   182: 1.61322e-05   183: -5.41083e-06   184: 2.70541e-06   331: 5.41083e-06   332: -2.70541e-06   576: -8.78797e-21   579: -9.74088e-21\n",
      "Row 183:   16: -0.000885358   17: -0.000215424   43: -0.000227255   44: -0.000885358   179: 3.5904e-05   180: -5.12914e-06   181: 3.78758e-05   182: -5.41083e-06   183: 0.00014756   184: 1.60936e-20   187: 3.5904e-05   188: 5.12914e-06   331: 3.78758e-05   332: 5.41083e-06   578: -2.05166e-05   579: -2.16433e-05\n",
      "Row 184:   16: 0.00014756   17: -1.16891e-19   43: -3.38813e-21   44: -0.00014756   179: -5.12914e-06   180: 2.56457e-06   181: -5.41083e-06   182: 2.70541e-06   183: 1.60936e-20   184: 1.581e-05   187: 5.12914e-06   188: 2.56457e-06   331: 5.41083e-06   332: 2.70541e-06   578: -9.21148e-21   579: -9.52912e-22\n",
      "Row 185:   2: -0.000260417   17: -0.00111716   18: -0.00111716   44: -0.000298163   99: 4.34028e-05   100: 6.2004e-06   101: 4.34028e-05   102: 6.2004e-06   185: 0.000186193   186: -2.20229e-20   187: 4.96939e-05   188: -7.09913e-06   191: 4.96939e-05   192: -7.09913e-06   580: -2.48016e-05   607: -2.83965e-05\n",
      "Row 186:   2: 1.32984e-19   17: 0.000186193   18: -0.000186193   44: -1.01644e-20   99: -6.2004e-06   100: -3.1002e-06   101: 6.2004e-06   102: 3.1002e-06   185: -2.20229e-20   186: 1.99493e-05   187: -7.09913e-06   188: 3.54956e-06   191: 7.09913e-06   192: -3.54956e-06   580: 1.01644e-20   607: -1.69407e-21\n",
      "Row 187:   16: -0.000215424   17: -0.00102717   18: -0.000298163   44: -0.00102717   179: 3.5904e-05   180: 5.12914e-06   183: 3.5904e-05   184: 5.12914e-06   185: 4.96939e-05   186: -7.09913e-06   187: 0.000171196   188: 3.9387e-20   191: 4.96939e-05   192: 7.09913e-06   578: -2.05166e-05   607: -2.83965e-05\n",
      "Row 188:   16: -1.11385e-19   17: 0.000171196   18: -1.66018e-19   44: -0.000171196   179: -5.12914e-06   180: -2.56457e-06   183: 5.12914e-06   184: 2.56457e-06   185: -7.09913e-06   186: 3.54956e-06   187: 3.9387e-20   188: 1.83424e-05   191: 7.09913e-06   192: 3.54956e-06   578: -8.25857e-21   607: -1.27055e-20\n",
      "Row 189:   18: -0.000407933   19: -0.000407933   45: -0.000203967   189: 6.79889e-05   190: 0   193: 3.39944e-05   194: -4.85635e-06   197: 3.39944e-05   198: -4.85635e-06   581: -1.94254e-05\n",
      "Row 190:   18: 6.79889e-05   19: -6.79889e-05   45: -6.77626e-21   189: 0   190: 7.28452e-06   193: -4.85635e-06   194: 2.42817e-06   197: 4.85635e-06   198: -2.42817e-06   581: -1.05879e-21\n",
      "Row 191:   17: -0.000298163   18: -0.00106536   44: -0.00106536   45: -0.000234517   185: 4.96939e-05   186: 7.09913e-06   187: 4.96939e-05   188: 7.09913e-06   191: 0.00017756   192: 3.89635e-20   193: 3.90862e-05   194: -5.58375e-06   337: 3.90862e-05   338: -5.58375e-06   607: -2.83965e-05   608: -2.2335e-05\n",
      "Row 192:   17: -1.53313e-19   18: 0.00017756   44: -0.00017756   45: -1.27055e-19   185: -7.09913e-06   186: -3.54956e-06   187: 7.09913e-06   188: 3.54956e-06   191: 3.89635e-20   192: 1.90243e-05   193: -5.58375e-06   194: 2.79187e-06   337: 5.58375e-06   338: -2.79187e-06   607: -1.16467e-20   608: -1.01644e-20\n",
      "Row 193:   18: -0.000876968   19: -0.000203967   44: -0.000234517   45: -0.000876968   189: 3.39944e-05   190: -4.85635e-06   191: 3.90862e-05   192: -5.58375e-06   193: 0.000146161   194: 1.60936e-20   197: 3.39944e-05   198: 4.85635e-06   337: 3.90862e-05   338: 5.58375e-06   581: -1.94254e-05   608: -2.2335e-05\n",
      "Row 194:   18: 0.000146161   19: -1.10114e-19   44: -5.0822e-21   45: -0.000146161   189: -4.85635e-06   190: 2.42817e-06   191: -5.58375e-06   192: 2.79187e-06   193: 1.60936e-20   194: 1.56601e-05   197: 4.85635e-06   198: 2.42817e-06   337: 5.58375e-06   338: 2.79187e-06   581: -8.78797e-21   608: -1.27055e-21\n",
      "Row 195:   19: -0.000474934   20: -0.000474934   46: -0.000237467   195: 7.91557e-05   196: 0   199: 3.95778e-05   200: -5.65398e-06   203: 3.95778e-05   204: -5.65398e-06   582: -2.26159e-05\n",
      "Row 196:   19: 7.91557e-05   20: -7.91557e-05   46: -5.0822e-21   195: 0   196: 8.48097e-06   199: -5.65398e-06   200: 2.82699e-06   203: 5.65398e-06   204: -2.82699e-06   582: -1.16467e-21\n",
      "Row 197:   18: -0.000203967   19: -0.000786319   45: -0.000786319   46: -0.000189193   189: 3.39944e-05   190: 4.85635e-06   193: 3.39944e-05   194: 4.85635e-06   197: 0.000131053   198: 3.04932e-20   199: 3.15321e-05   200: -4.50459e-06   341: 3.15321e-05   342: -4.50459e-06   581: -1.94254e-05   583: -1.80184e-05\n",
      "Row 198:   18: -1.03762e-19   19: 0.000131053   45: -0.000131053   46: -1.05032e-19   189: -4.85635e-06   190: -2.42817e-06   193: 4.85635e-06   194: 2.42817e-06   197: 3.04932e-20   198: 1.40414e-05   199: -4.50459e-06   200: 2.2523e-06   341: 4.50459e-06   342: -2.2523e-06   581: -8.04681e-21   583: -8.36445e-21\n",
      "Row 199:   19: -0.00085332   20: -0.000237467   45: -0.000189193   46: -0.00085332   195: 3.95778e-05   196: -5.65398e-06   197: 3.15321e-05   198: -4.50459e-06   199: 0.00014222   200: 1.77877e-20   203: 3.95778e-05   204: 5.65398e-06   341: 3.15321e-05   342: 4.50459e-06   582: -2.26159e-05   583: -1.80184e-05\n",
      "Row 200:   19: 0.00014222   20: -1.30443e-19   45: -5.0822e-21   46: -0.00014222   195: -5.65398e-06   196: 2.82699e-06   197: -4.50459e-06   198: 2.2523e-06   199: 1.77877e-20   200: 1.52379e-05   203: 5.65398e-06   204: 2.82699e-06   341: 4.50459e-06   342: 2.2523e-06   582: -1.05879e-20   583: -9.52912e-22\n",
      "Row 201:   20: -0.000492361   21: -0.000492361   47: -0.00024618   201: 8.20601e-05   202: -4.23516e-22   205: 4.103e-05   206: -5.86144e-06   209: 4.103e-05   210: -5.86144e-06   584: -2.34457e-05\n",
      "Row 202:   20: 8.20601e-05   21: -8.20601e-05   47: -5.0822e-21   201: -4.23516e-22   202: 8.79215e-06   205: -5.86144e-06   206: 2.93072e-06   209: 5.86144e-06   210: -2.93072e-06   584: -1.16467e-21\n",
      "Row 203:   19: -0.000237467   20: -0.000941792   46: -0.000941792   47: -0.000233429   195: 3.95778e-05   196: 5.65398e-06   199: 3.95778e-05   200: 5.65398e-06   203: 0.000156965   204: 3.51519e-20   205: 3.89048e-05   206: -5.55783e-06   345: 3.89048e-05   346: -5.55783e-06   582: -2.26159e-05   585: -2.22313e-05\n",
      "Row 204:   19: -1.21126e-19   20: 0.000156965   46: -0.000156965   47: -1.27055e-19   195: -5.65398e-06   196: -2.82699e-06   199: 5.65398e-06   200: 2.82699e-06   203: 3.51519e-20   204: 1.68177e-05   205: -5.55783e-06   206: 2.77892e-06   345: 5.55783e-06   346: -2.77892e-06   582: -9.42324e-21   585: -1.01644e-20\n",
      "Row 205:   20: -0.000959218   21: -0.00024618   46: -0.000233429   47: -0.000959218   201: 4.103e-05   202: -5.86144e-06   203: 3.89048e-05   204: -5.55783e-06   205: 0.00015987   206: 1.90582e-20   209: 4.103e-05   210: 5.86144e-06   345: 3.89048e-05   346: 5.55783e-06   584: -2.34457e-05   585: -2.22313e-05\n",
      "Row 206:   20: 0.00015987   21: -1.33831e-19   46: -6.77626e-21   47: -0.00015987   201: -5.86144e-06   202: 2.93072e-06   203: -5.55783e-06   204: 2.77892e-06   205: 1.90582e-20   206: 1.71289e-05   209: 5.86144e-06   210: 2.93072e-06   345: 5.55783e-06   346: 2.77892e-06   584: -1.02703e-20   585: -1.27055e-21\n",
      "Row 207:   21: -0.000478686   22: -0.000478686   48: -0.000239343   207: 7.97809e-05   208: 0   211: 3.98905e-05   212: -5.69864e-06   215: 3.98905e-05   216: -5.69864e-06   586: -2.27946e-05\n",
      "Row 208:   21: 7.97809e-05   22: -7.97809e-05   48: -6.77626e-21   207: 0   208: 8.54796e-06   211: -5.69864e-06   212: 2.84932e-06   215: 5.69864e-06   216: -2.84932e-06   586: -9.52912e-22\n",
      "Row 209:   20: -0.00024618   21: -0.000974533   47: -0.000974533   48: -0.000241086   201: 4.103e-05   202: 5.86144e-06   205: 4.103e-05   206: 5.86144e-06   209: 0.000162422   210: 3.81165e-20   211: 4.0181e-05   212: -5.74014e-06   351: 4.0181e-05   352: -5.74014e-06   584: -2.34457e-05   587: -2.29606e-05\n",
      "Row 210:   20: -1.24514e-19   21: 0.000162422   47: -0.000162422   48: -1.30443e-19   201: -5.86144e-06   202: -2.93072e-06   205: 5.86144e-06   206: 2.93072e-06   209: 3.81165e-20   210: 1.74024e-05   211: -5.74014e-06   212: 2.87007e-06   351: 5.74014e-06   352: -2.87007e-06   584: -9.21148e-21   587: -1.02703e-20\n",
      "Row 211:   21: -0.000960858   22: -0.000239343   47: -0.000241086   48: -0.000960858   207: 3.98905e-05   208: -5.69864e-06   209: 4.0181e-05   210: -5.74014e-06   211: 0.000160143   212: 1.65171e-20   215: 3.98905e-05   216: 5.69864e-06   351: 4.0181e-05   352: 5.74014e-06   586: -2.27946e-05   587: -2.29606e-05\n",
      "Row 212:   21: 0.000160143   22: -1.30443e-19   47: -6.77626e-21   48: -0.000160143   207: -5.69864e-06   208: 2.84932e-06   209: -5.74014e-06   210: 2.87007e-06   211: 1.65171e-20   212: 1.71582e-05   215: 5.69864e-06   216: 2.84932e-06   351: 5.74014e-06   352: 2.87007e-06   586: -1.02703e-20   587: -1.05879e-21\n",
      "Row 213:   22: -0.000453357   23: -0.000453357   49: -0.000226679   213: 7.55595e-05   214: 0   217: 3.77798e-05   218: -5.39711e-06   221: 3.77798e-05   222: -5.39711e-06   588: -2.15884e-05\n",
      "Row 214:   22: 7.55595e-05   23: -7.55595e-05   49: -3.38813e-21   213: 0   214: 8.09566e-06   217: -5.39711e-06   218: 2.69855e-06   221: 5.39711e-06   222: -2.69855e-06   588: -1.16467e-21\n",
      "Row 215:   21: -0.000239343   22: -0.00092377   48: -0.00092377   49: -0.000222542   207: 3.98905e-05   208: 5.69864e-06   211: 3.98905e-05   212: 5.69864e-06   215: 0.000153962   216: 3.68459e-20   217: 3.70903e-05   218: -5.29862e-06   357: 3.70903e-05   358: -5.29862e-06   586: -2.27946e-05   589: -2.11945e-05\n",
      "Row 216:   21: -1.2282e-19   22: 0.000153962   48: -0.000153962   49: -1.21973e-19   207: -5.69864e-06   208: -2.84932e-06   211: 5.69864e-06   212: 2.84932e-06   215: 3.68459e-20   216: 1.64959e-05   217: -5.29862e-06   218: 2.64931e-06   357: 5.29862e-06   358: -2.64931e-06   586: -9.31736e-21   589: -9.52912e-21\n",
      "Row 217:   22: -0.000898441   23: -0.000226679   48: -0.000222542   49: -0.000898441   213: 3.77798e-05   214: -5.39711e-06   215: 3.70903e-05   216: -5.29862e-06   217: 0.00014974   218: 1.82112e-20   221: 3.77798e-05   222: 5.39711e-06   357: 3.70903e-05   358: 5.29862e-06   588: -2.15884e-05   589: -2.11945e-05\n",
      "Row 218:   22: 0.00014974   23: -1.23667e-19   48: -6.77626e-21   49: -0.00014974   213: -5.39711e-06   214: 2.69855e-06   215: -5.29862e-06   216: 2.64931e-06   217: 1.82112e-20   218: 1.60436e-05   221: 5.39711e-06   222: 2.69855e-06   357: 5.29862e-06   358: 2.64931e-06   588: -9.52912e-21   589: -9.52912e-22\n",
      "Row 219:   23: -0.000408768   24: -0.000408768   50: -0.000204384   219: 6.81281e-05   220: -4.23516e-22   223: 3.4064e-05   224: -4.86629e-06   225: 3.4064e-05   226: -4.86629e-06   590: -1.94652e-05\n",
      "Row 220:   23: 6.81281e-05   24: -6.81281e-05   50: -3.38813e-21   219: -4.23516e-22   220: 7.29943e-06   223: -4.86629e-06   224: 2.43314e-06   225: 4.86629e-06   226: -2.43314e-06   590: -9.52912e-22\n",
      "Row 221:   22: -0.000226679   23: -0.000844512   49: -0.000844512   50: -0.000195577   213: 3.77798e-05   214: 5.39711e-06   217: 3.77798e-05   218: 5.39711e-06   221: 0.000140752   222: 3.21873e-20   223: 3.25962e-05   224: -4.65661e-06   363: 3.25962e-05   364: -4.65661e-06   588: -2.15884e-05   591: -1.86264e-05\n",
      "Row 222:   22: -1.17738e-19   23: 0.000140752   49: -0.000140752   50: -1.05032e-19   213: -5.39711e-06   214: -2.69855e-06   217: 5.39711e-06   218: 2.69855e-06   221: 3.21873e-20   222: 1.50806e-05   223: -4.65661e-06   224: 2.3283e-06   363: 4.65661e-06   364: -2.3283e-06   588: -8.99973e-21   591: -8.47033e-21\n",
      "Row 223:   23: -0.000799923   24: -0.000204384   49: -0.000195577   50: -0.000799923   219: 3.4064e-05   220: -4.86629e-06   221: 3.25962e-05   222: -4.65661e-06   223: 0.000133321   224: 1.65171e-20   225: 3.4064e-05   226: 4.86629e-06   363: 3.25962e-05   364: 4.65661e-06   590: -1.94652e-05   591: -1.86264e-05\n",
      "Row 224:   23: 0.000133321   24: -1.11808e-19   49: -6.77626e-21   50: -0.000133321   219: -4.86629e-06   220: 2.43314e-06   221: -4.65661e-06   222: 2.3283e-06   223: 1.65171e-20   224: 1.42843e-05   225: 4.86629e-06   226: 2.43314e-06   363: 4.65661e-06   364: 2.3283e-06   590: -8.78797e-21   591: -1.27055e-21\n",
      "Row 225:   23: -0.000204384   24: -0.000795913   50: -0.000795913   51: -0.000193572   219: 3.4064e-05   220: 4.86629e-06   223: 3.4064e-05   224: 4.86629e-06   225: 0.000132652   226: 3.00697e-20   227: 3.22621e-05   228: -4.60886e-06   369: 3.22621e-05   370: -4.60886e-06   590: -1.94652e-05   593: -1.84355e-05\n",
      "Row 226:   23: -1.03338e-19   24: 0.000132652   50: -0.000132652   51: -1.05032e-19   219: -4.86629e-06   220: -2.43314e-06   223: 4.86629e-06   224: 2.43314e-06   225: 3.00697e-20   226: 1.42127e-05   227: -4.60886e-06   228: 2.30443e-06   369: 4.60886e-06   370: -2.30443e-06   590: -7.72918e-21   593: -8.36445e-21\n",
      "Row 227:   3: -0.00021602   24: -0.000819185   50: -0.000193572   51: -0.000819185   103: 3.60034e-05   104: 5.14334e-06   107: 3.60034e-05   108: 5.14334e-06   225: 3.22621e-05   226: -4.60886e-06   227: 0.000136531   228: -1.73642e-20   369: 3.22621e-05   370: 4.60886e-06   592: -2.05734e-05   593: -1.84355e-05\n",
      "Row 228:   3: 1.10961e-19   24: 0.000136531   50: -6.77626e-21   51: -0.000136531   103: -5.14334e-06   104: -2.57167e-06   107: 5.14334e-06   108: 2.57167e-06   225: -4.60886e-06   226: 2.30443e-06   227: -1.73642e-20   228: 1.46283e-05   369: 4.60886e-06   370: 2.30443e-06   592: 8.57621e-21   593: -9.52912e-22\n",
      "Row 229:   25: -0.000386957   26: -0.000386957   52: -0.000193478   229: 6.44928e-05   230: 0   233: 3.22464e-05   234: -4.60663e-06   237: 3.22464e-05   238: -4.60663e-06   595: -1.84265e-05\n",
      "Row 230:   25: 6.44928e-05   26: -6.44928e-05   52: -5.0822e-21   229: 0   230: 6.90994e-06   233: -4.60663e-06   234: 2.30331e-06   237: 4.60663e-06   238: -2.30331e-06   595: -8.47033e-22\n",
      "Row 231:   3: -0.000210509   25: -0.000804878   51: -0.000804878   52: -0.00019193   105: 3.50849e-05   106: 5.01213e-06   107: 3.50849e-05   108: 5.01213e-06   231: 0.000134146   232: 2.96462e-20   233: 3.19883e-05   234: -4.56976e-06   375: 3.19883e-05   376: -4.56976e-06   594: -2.00485e-05   596: -1.8279e-05\n",
      "Row 232:   3: -1.06303e-19   25: 0.000134146   51: -0.000134146   52: -1.06726e-19   105: -5.01213e-06   106: -2.50606e-06   107: 5.01213e-06   108: 2.50606e-06   231: 2.96462e-20   232: 1.43728e-05   233: -4.56976e-06   234: 2.28488e-06   375: 4.56976e-06   376: -2.28488e-06   594: -8.25857e-21   596: -8.36445e-21\n",
      "Row 233:   25: -0.000770816   26: -0.000193478   51: -0.00019193   52: -0.000770816   229: 3.22464e-05   230: -4.60663e-06   231: 3.19883e-05   232: -4.56976e-06   233: 0.000128469   234: 1.56701e-20   237: 3.22464e-05   238: 4.60663e-06   375: 3.19883e-05   376: 4.56976e-06   595: -1.84265e-05   596: -1.8279e-05\n",
      "Row 234:   25: 0.000128469   26: -1.06726e-19   51: -5.0822e-21   52: -0.000128469   229: -4.60663e-06   230: 2.30331e-06   231: -4.56976e-06   232: 2.28488e-06   233: 1.56701e-20   234: 1.37646e-05   237: 4.60663e-06   238: 2.30331e-06   375: 4.56976e-06   376: 2.28488e-06   595: -8.47033e-21   596: -1.05879e-21\n",
      "Row 235:   26: -0.000423216   27: -0.000423216   53: -0.000211608   235: 7.05359e-05   236: 0   239: 3.5268e-05   240: -5.03828e-06   243: 3.5268e-05   244: -5.03828e-06   597: -2.01531e-05\n",
      "Row 236:   26: 7.05359e-05   27: -7.05359e-05   53: -6.77626e-21   235: 0   236: 7.55742e-06   239: -5.03828e-06   240: 2.51914e-06   243: 5.03828e-06   244: -2.51914e-06   597: -8.47033e-22\n",
      "Row 237:   25: -0.000193478   26: -0.000765189   52: -0.000765189   53: -0.000189116   229: 3.22464e-05   230: 4.60663e-06   233: 3.22464e-05   234: 4.60663e-06   237: 0.000127531   238: 2.96462e-20   239: 3.15193e-05   240: -4.50276e-06   379: 3.15193e-05   380: -4.50276e-06   595: -1.84265e-05   598: -1.8011e-05\n",
      "Row 238:   25: -9.95264e-20   26: 0.000127531   52: -0.000127531   53: -1.03338e-19   229: -4.60663e-06   230: -2.30331e-06   233: 4.60663e-06   234: 2.30331e-06   237: 2.96462e-20   238: 1.36641e-05   239: -4.50276e-06   240: 2.25138e-06   379: 4.50276e-06   380: -2.25138e-06   595: -7.72918e-21   598: -8.25857e-21\n",
      "Row 239:   26: -0.000801448   27: -0.000211608   52: -0.000189116   53: -0.000801448   235: 3.5268e-05   236: -5.03828e-06   237: 3.15193e-05   238: -4.50276e-06   239: 0.000133575   240: 1.65171e-20   243: 3.5268e-05   244: 5.03828e-06   379: 3.15193e-05   380: 4.50276e-06   597: -2.01531e-05   598: -1.8011e-05\n",
      "Row 240:   26: 0.000133575   27: -1.13502e-19   52: -6.77626e-21   53: -0.000133575   235: -5.03828e-06   236: 2.51914e-06   237: -4.50276e-06   238: 2.25138e-06   239: 1.65171e-20   240: 1.43116e-05   243: 5.03828e-06   244: 2.51914e-06   379: 4.50276e-06   380: 2.25138e-06   597: -9.1056e-21   598: -8.47033e-22\n",
      "Row 241:   27: -0.000434936   28: -0.000434936   54: -0.000217468   241: 7.24893e-05   242: 0   245: 3.62447e-05   246: -5.17781e-06   249: 3.62447e-05   250: -5.17781e-06   599: -2.07112e-05\n",
      "Row 242:   27: 7.24893e-05   28: -7.24893e-05   54: -5.0822e-21   241: 0   242: 7.76671e-06   245: -5.17781e-06   246: 2.5889e-06   249: 5.17781e-06   250: -2.5889e-06   599: -8.47033e-22\n",
      "Row 243:   26: -0.000211608   27: -0.000843463   53: -0.000843463   54: -0.000210123   235: 3.5268e-05   236: 5.03828e-06   239: 3.5268e-05   240: 5.03828e-06   243: 0.000140577   244: 3.26108e-20   245: 3.50206e-05   246: -5.00294e-06   385: 3.50206e-05   386: -5.00294e-06   597: -2.01531e-05   600: -2.00118e-05\n",
      "Row 244:   26: -1.0842e-19   27: 0.000140577   53: -0.000140577   54: -1.13502e-19   235: -5.03828e-06   236: -2.51914e-06   239: 5.03828e-06   240: 2.51914e-06   243: 3.26108e-20   244: 1.50618e-05   245: -5.00294e-06   246: 2.50147e-06   385: 5.00294e-06   386: -2.50147e-06   597: -8.36445e-21   600: -8.99973e-21\n",
      "Row 245:   27: -0.000855183   28: -0.000217468   53: -0.000210123   54: -0.000855183   241: 3.62447e-05   242: -5.17781e-06   243: 3.50206e-05   244: -5.00294e-06   245: 0.00014253   246: 1.69407e-20   249: 3.62447e-05   250: 5.17781e-06   385: 3.50206e-05   386: 5.00294e-06   599: -2.07112e-05   600: -2.00118e-05\n",
      "Row 246:   27: 0.00014253   28: -1.16891e-19   53: -6.77626e-21   54: -0.00014253   241: -5.17781e-06   242: 2.5889e-06   243: -5.00294e-06   244: 2.50147e-06   245: 1.69407e-20   246: 1.52711e-05   249: 5.17781e-06   250: 2.5889e-06   385: 5.00294e-06   386: 2.50147e-06   599: -9.31736e-21   600: -1.05879e-21\n",
      "Row 247:   28: -0.000411587   29: -0.000411587   55: -0.000205794   247: 6.85979e-05   248: 4.23516e-22   251: 3.4299e-05   252: -4.89985e-06   255: 3.4299e-05   256: -4.89985e-06   601: -1.95994e-05\n",
      "Row 248:   28: 6.85979e-05   29: -6.85979e-05   55: -5.0822e-21   247: 4.23516e-22   248: 7.34978e-06   251: -4.89985e-06   252: 2.44993e-06   255: 4.89985e-06   256: -2.44993e-06   601: -6.35275e-22\n",
      "Row 249:   27: -0.000217468   28: -0.000866159   54: -0.000866159   55: -0.000215612   241: 3.62447e-05   242: 5.17781e-06   245: 3.62447e-05   246: 5.17781e-06   249: 0.00014436   250: 3.34578e-20   251: 3.59353e-05   252: -5.13361e-06   391: 3.59353e-05   392: -5.13361e-06   599: -2.07112e-05   602: -2.05345e-05\n",
      "Row 250:   27: -1.11385e-19   28: 0.00014436   54: -0.00014436   55: -1.16891e-19   241: -5.17781e-06   242: -2.5889e-06   245: 5.17781e-06   246: 2.5889e-06   249: 3.34578e-20   250: 1.54671e-05   251: -5.13361e-06   252: 2.56681e-06   391: 5.13361e-06   392: -2.56681e-06   599: -8.68209e-21   602: -9.52912e-21\n",
      "Row 251:   28: -0.000842811   29: -0.000205794   54: -0.000215612   55: -0.000842811   247: 3.4299e-05   248: -4.89985e-06   249: 3.59353e-05   250: -5.13361e-06   251: 0.000140468   252: 1.52466e-20   255: 3.4299e-05   256: 4.89985e-06   391: 3.59353e-05   392: 5.13361e-06   601: -1.95994e-05   602: -2.05345e-05\n",
      "Row 252:   28: 0.000140468   29: -1.11808e-19   54: -6.77626e-21   55: -0.000140468   247: -4.89985e-06   248: 2.44993e-06   249: -5.13361e-06   250: 2.56681e-06   251: 1.52466e-20   252: 1.50502e-05   255: 4.89985e-06   256: 2.44993e-06   391: 5.13361e-06   392: 2.56681e-06   601: -8.99973e-21   602: -1.37643e-21\n",
      "Row 253:   29: -0.000441242   30: -0.000441242   56: -0.000220621   253: 7.35403e-05   254: 4.23516e-22   257: 3.67702e-05   258: -5.25288e-06   261: 3.67702e-05   262: -5.25288e-06   603: -2.10115e-05\n",
      "Row 254:   29: 7.35403e-05   30: -7.35403e-05   56: -5.0822e-21   253: 4.23516e-22   254: 7.87932e-06   257: -5.25288e-06   258: 2.62644e-06   261: 5.25288e-06   262: -2.62644e-06   603: -9.52912e-22\n",
      "Row 255:   28: -0.000205794   29: -0.000925081   55: -0.000925081   56: -0.000256747   247: 3.4299e-05   248: 4.89985e-06   251: 3.4299e-05   252: 4.89985e-06   255: 0.00015418   256: 3.64224e-20   257: 4.27911e-05   258: -6.11302e-06   397: 4.27911e-05   398: -6.11302e-06   601: -1.95994e-05   604: -2.44521e-05\n",
      "Row 256:   28: -1.06303e-19   29: 0.00015418   55: -0.00015418   56: -1.42302e-19   247: -4.89985e-06   248: -2.44993e-06   251: 4.89985e-06   252: 2.44993e-06   255: 3.64224e-20   256: 1.65193e-05   257: -6.11302e-06   258: 3.05651e-06   397: 6.11302e-06   398: -3.05651e-06   601: -8.25857e-21   604: -1.10114e-20\n",
      "Row 257:   29: -0.000954735   30: -0.000220621   55: -0.000256747   56: -0.000954735   253: 3.67702e-05   254: -5.25288e-06   255: 4.27911e-05   256: -6.11302e-06   257: 0.000159123   258: 1.73642e-20   261: 3.67702e-05   262: 5.25288e-06   397: 4.27911e-05   398: 6.11302e-06   603: -2.10115e-05   604: -2.44521e-05\n",
      "Row 258:   29: 0.000159123   30: -1.21973e-19   55: -5.0822e-21   56: -0.000159123   253: -5.25288e-06   254: 2.62644e-06   255: -6.11302e-06   256: 3.05651e-06   257: 1.73642e-20   258: 1.70488e-05   261: 5.25288e-06   262: 2.62644e-06   397: 6.11302e-06   398: 3.05651e-06   603: -9.84676e-21   604: -1.16467e-21\n",
      "Row 259:   30: -0.000441242   31: -0.000441242   56: -0.000220621   259: 7.35403e-05   260: 0   261: 3.67702e-05   262: -5.25288e-06   265: 3.67702e-05   266: -5.25288e-06   605: -2.10115e-05\n",
      "Row 260:   30: 7.35403e-05   31: -7.35403e-05   56: -6.77626e-21   259: 0   260: 7.87932e-06   261: -5.25288e-06   262: 2.62644e-06   265: 5.25288e-06   266: -2.62644e-06   605: -1.16467e-21\n",
      "Row 261:   29: -0.000220621   30: -0.000882484   31: -0.000220621   56: -0.000882484   253: 3.67702e-05   254: 5.25288e-06   257: 3.67702e-05   258: 5.25288e-06   259: 3.67702e-05   260: -5.25288e-06   261: 0.000147081   262: 3.26108e-20   265: 3.67702e-05   266: 5.25288e-06   603: -2.10115e-05   605: -2.10115e-05\n",
      "Row 262:   29: -1.13926e-19   30: 0.000147081   31: -1.21973e-19   56: -0.000147081   253: -5.25288e-06   254: -2.62644e-06   257: 5.25288e-06   258: 2.62644e-06   259: -5.25288e-06   260: 2.62644e-06   261: 3.26108e-20   262: 1.57586e-05   265: 5.25288e-06   266: 2.62644e-06   603: -8.68209e-21   605: -9.95264e-21\n",
      "Row 263:   4: -0.000346966   31: -0.0014496   32: -0.0014496   56: -0.000377832   111: 5.78277e-05   112: 8.2611e-06   113: 5.78277e-05   114: 8.2611e-06   263: 0.000241599   264: -2.79521e-20   265: 6.2972e-05   266: -8.99599e-06   269: 6.2972e-05   270: -8.99599e-06   606: -3.30444e-05   609: -3.5984e-05\n",
      "Row 264:   4: 1.79571e-19   31: 0.000241599   32: -0.000241599   56: -6.77626e-21   111: -8.2611e-06   112: -4.13055e-06   113: 8.2611e-06   114: 4.13055e-06   263: -2.79521e-20   264: 2.58856e-05   265: -8.99599e-06   266: 4.498e-06   269: 8.99599e-06   270: -4.498e-06   606: 1.33408e-20   609: -2.11758e-21\n",
      "Row 265:   30: -0.000220621   31: -0.00119691   32: -0.000377832   56: -0.00119691   259: 3.67702e-05   260: 5.25288e-06   261: 3.67702e-05   262: 5.25288e-06   263: 6.2972e-05   264: -8.99599e-06   265: 0.000199484   266: 4.65868e-20   269: 6.2972e-05   270: 8.99599e-06   605: -2.10115e-05   609: -3.5984e-05\n",
      "Row 266:   30: -1.14349e-19   31: 0.000199484   32: -2.03288e-19   56: -0.000199484   259: -5.25288e-06   260: -2.62644e-06   261: 5.25288e-06   262: 2.62644e-06   263: -8.99599e-06   264: 4.498e-06   265: 4.65868e-20   266: 2.13733e-05   269: 8.99599e-06   270: 4.498e-06   605: -8.89385e-21   609: -1.60936e-20\n",
      "Row 267:   5: -0.000273595   32: -0.00106113   33: -0.00106113   58: -0.000256969   117: 4.55991e-05   118: 6.51416e-06   119: 4.55991e-05   120: 6.51416e-06   267: 0.000176855   268: -1.99053e-20   271: 4.28281e-05   272: -6.1183e-06   277: 4.28281e-05   278: -6.1183e-06   556: -2.60566e-05   611: -2.44732e-05\n",
      "Row 268:   5: 1.40607e-19   32: 0.000176855   33: -0.000176855   58: -6.77626e-21   117: -6.51416e-06   118: -3.25708e-06   119: 6.51416e-06   120: 3.25708e-06   267: -1.99053e-20   268: 1.89487e-05   271: -6.1183e-06   272: 3.05915e-06   277: 6.1183e-06   278: -3.05915e-06   556: 1.10114e-20   611: -1.05879e-21\n",
      "Row 269:   31: -0.000377832   32: -0.00130348   56: -0.00130348   58: -0.00027391   263: 6.2972e-05   264: 8.99599e-06   265: 6.2972e-05   266: 8.99599e-06   269: 0.000217247   270: 5.1669e-20   271: 4.56516e-05   272: -6.52166e-06   403: 4.56516e-05   404: -6.52166e-06   609: -3.5984e-05   654: -2.60866e-05\n",
      "Row 270:   31: -1.93124e-19   32: 0.000217247   56: -0.000217247   58: -1.47384e-19   263: -8.99599e-06   264: -4.498e-06   265: 8.99599e-06   266: 4.498e-06   269: 5.1669e-20   270: 2.32765e-05   271: -6.52166e-06   272: 3.26083e-06   403: 6.52166e-06   404: -3.26083e-06   609: -1.48231e-20   654: -1.18585e-20\n",
      "Row 271:   32: -0.00106176   33: -0.000256969   56: -0.00027391   58: -0.00106176   267: 4.28281e-05   268: -6.1183e-06   269: 4.56516e-05   270: -6.52166e-06   271: 0.000176959   272: 1.94818e-20   277: 4.28281e-05   278: 6.1183e-06   403: 4.56516e-05   404: 6.52166e-06   611: -2.44732e-05   654: -2.60866e-05\n",
      "Row 272:   32: 0.000176959   33: -1.40607e-19   56: -3.38813e-21   58: -0.000176959   267: -6.1183e-06   268: 3.05915e-06   269: -6.52166e-06   270: 3.26083e-06   271: 1.94818e-20   272: 1.89599e-05   277: 6.1183e-06   278: 3.05915e-06   403: 6.52166e-06   404: 3.26083e-06   611: -1.10114e-20   654: -1.37643e-21\n",
      "Row 273:   6: -0.000253303   33: -0.00101466   34: -0.00101466   57: -0.000254027   123: 4.22171e-05   124: 6.03102e-06   125: 4.22171e-05   126: 6.03102e-06   273: 0.00016911   274: -1.94818e-20   275: 4.23378e-05   276: -6.04825e-06   281: 4.23378e-05   282: -6.04825e-06   558: -2.41241e-05   610: -2.4193e-05\n",
      "Row 274:   6: 1.28325e-19   33: 0.00016911   34: -0.00016911   57: -6.77626e-21   123: -6.03102e-06   124: -3.01551e-06   125: 6.03102e-06   126: 3.01551e-06   273: -1.94818e-20   274: 1.81189e-05   275: -6.04825e-06   276: 3.02413e-06   281: 6.04825e-06   282: -3.02413e-06   558: 1.02703e-20   610: -1.05879e-21\n",
      "Row 275:   33: -0.00100345   34: -0.000254027   57: -0.00100345   58: -0.0002477   273: 4.23378e-05   274: -6.04825e-06   275: 0.000167242   276: 1.94818e-20   277: 4.12834e-05   278: -5.89763e-06   281: 4.23378e-05   282: 6.04825e-06   407: 4.12834e-05   408: -5.89763e-06   610: -2.4193e-05   612: -2.35905e-05\n",
      "Row 276:   33: 0.000167242   34: -1.38913e-19   57: -0.000167242   58: -6.77626e-21   273: -6.04825e-06   274: 3.02413e-06   275: 1.94818e-20   276: 1.79188e-05   277: -5.89763e-06   278: 2.94881e-06   281: 6.04825e-06   282: 3.02413e-06   407: 5.89763e-06   408: -2.94881e-06   610: -1.10114e-20   612: -1.16467e-21\n",
      "Row 277:   32: -0.000256969   33: -0.00100934   57: -0.0002477   58: -0.00100934   267: 4.28281e-05   268: 6.1183e-06   271: 4.28281e-05   272: 6.1183e-06   275: 4.12834e-05   276: -5.89763e-06   277: 0.000168223   278: 4.06576e-20   407: 4.12834e-05   408: 5.89763e-06   611: -2.44732e-05   612: -2.35905e-05\n",
      "Row 278:   32: -1.31714e-19   33: 0.000168223   57: -1.33831e-19   58: -0.000168223   267: -6.1183e-06   268: -3.05915e-06   271: 6.1183e-06   272: 3.05915e-06   275: -5.89763e-06   276: 2.94881e-06   277: 4.06576e-20   278: 1.80239e-05   407: 5.89763e-06   408: 2.94881e-06   611: -9.95264e-21   612: -1.0482e-20\n",
      "Row 279:   7: -0.000238224   34: -0.000987486   35: -0.000987486   76: -0.00025552   129: 3.9704e-05   130: 5.67199e-06   131: 3.9704e-05   132: 5.67199e-06   279: 0.000164581   280: -1.69407e-20   283: 4.25866e-05   284: -6.0838e-06   289: 4.25866e-05   290: -6.0838e-06   560: -2.2688e-05   649: -2.43352e-05\n",
      "Row 280:   7: 1.22396e-19   34: 0.000164581   35: -0.000164581   76: -8.47033e-21   129: -5.67199e-06   130: -2.836e-06   131: 5.67199e-06   132: 2.836e-06   279: -1.69407e-20   280: 1.76337e-05   283: -6.0838e-06   284: 3.0419e-06   289: 6.0838e-06   290: -3.0419e-06   560: 9.31736e-21   649: -1.27055e-21\n",
      "Row 281:   33: -0.000254027   34: -0.00102128   57: -0.00102128   76: -0.000256614   273: 4.23378e-05   274: 6.04825e-06   275: 4.23378e-05   276: 6.04825e-06   281: 0.000170214   282: 3.7693e-20   283: 4.2769e-05   284: -6.10986e-06   409: 4.2769e-05   410: -6.10986e-06   610: -2.4193e-05   652: -2.44394e-05\n",
      "Row 282:   33: -1.29173e-19   34: 0.000170214   57: -0.000170214   76: -1.38913e-19   273: -6.04825e-06   274: -3.02413e-06   275: 6.04825e-06   276: 3.02413e-06   281: 3.7693e-20   282: 1.82372e-05   283: -6.10986e-06   284: 3.05493e-06   409: 6.10986e-06   410: -3.05493e-06   610: -9.74088e-21   652: -1.14349e-20\n",
      "Row 283:   34: -0.00102427   35: -0.00025552   57: -0.000256614   76: -0.00102427   279: 4.25866e-05   280: -6.0838e-06   281: 4.2769e-05   282: -6.10986e-06   283: 0.000170711   284: 1.99053e-20   289: 4.25866e-05   290: 6.0838e-06   409: 4.2769e-05   410: 6.10986e-06   649: -2.43352e-05   652: -2.44394e-05\n",
      "Row 284:   34: 0.000170711   35: -1.37219e-19   57: -1.01644e-20   76: -0.000170711   279: -6.0838e-06   280: 3.0419e-06   281: -6.10986e-06   282: 3.05493e-06   283: 1.99053e-20   284: 1.82905e-05   289: 6.0838e-06   290: 3.0419e-06   409: 6.10986e-06   410: 3.05493e-06   649: -1.10114e-20   652: -1.16467e-21\n",
      "Row 285:   8: -0.000206991   35: -0.00087404   36: -0.00087404   59: -0.000230029   135: 3.44985e-05   136: 4.92835e-06   137: 3.44985e-05   138: 4.92835e-06   285: 0.000145673   286: -1.56701e-20   287: 3.83382e-05   288: -5.47688e-06   293: 3.83382e-05   294: -5.47688e-06   562: -1.97134e-05   613: -2.19075e-05\n",
      "Row 286:   8: 1.05879e-19   35: 0.000145673   36: -0.000145673   59: -8.47033e-21   135: -4.92835e-06   136: -2.46418e-06   137: 4.92835e-06   138: 2.46418e-06   285: -1.56701e-20   286: 1.56079e-05   287: -5.47688e-06   288: 2.73844e-06   293: 5.47688e-06   294: -2.73844e-06   562: 8.04681e-21   613: -1.16467e-21\n",
      "Row 287:   35: -0.00094976   36: -0.000230029   59: -0.00094976   76: -0.000244851   285: 3.83382e-05   286: -5.47688e-06   287: 0.000158293   288: 1.82112e-20   289: 4.08085e-05   290: -5.82979e-06   293: 3.83382e-05   294: 5.47688e-06   421: 4.08085e-05   422: -5.82979e-06   613: -2.19075e-05   650: -2.33191e-05\n",
      "Row 288:   35: 0.000158293   36: -1.25361e-19   59: -0.000158293   76: -6.77626e-21   285: -5.47688e-06   286: 2.73844e-06   287: 1.82112e-20   288: 1.696e-05   289: -5.82979e-06   290: 2.91489e-06   293: 5.47688e-06   294: 2.73844e-06   421: 5.82979e-06   422: -2.91489e-06   613: -9.84676e-21   650: -1.05879e-21\n",
      "Row 289:   34: -0.00025552   35: -0.00100074   59: -0.000244851   76: -0.00100074   279: 4.25866e-05   280: 6.0838e-06   283: 4.25866e-05   284: 6.0838e-06   287: 4.08085e-05   288: -5.82979e-06   289: 0.00016679   290: 3.72694e-20   421: 4.08085e-05   422: 5.82979e-06   649: -2.43352e-05   650: -2.33191e-05\n",
      "Row 290:   34: -1.30443e-19   35: 0.00016679   59: -1.33831e-19   76: -0.00016679   279: -6.0838e-06   280: -3.0419e-06   283: 6.0838e-06   284: 3.0419e-06   287: -5.82979e-06   288: 2.91489e-06   289: 3.72694e-20   290: 1.78704e-05   421: 5.82979e-06   422: 2.91489e-06   649: -9.74088e-21   650: -1.0482e-20\n",
      "Row 291:   9: -0.000192315   36: -0.000733865   37: -0.000733865   60: -0.000174617   141: 3.20525e-05   142: 4.57893e-06   143: 3.20525e-05   144: 4.57893e-06   291: 0.000122311   292: -1.52466e-20   295: 2.91029e-05   296: -4.15756e-06   299: 2.91029e-05   300: -4.15756e-06   564: -1.83157e-05   614: -1.66302e-05\n",
      "Row 292:   9: 9.78323e-20   36: 0.000122311   37: -0.000122311   60: -3.38813e-21   141: -4.57893e-06   142: -2.28947e-06   143: 4.57893e-06   144: 2.28947e-06   291: -1.52466e-20   292: 1.31047e-05   295: -4.15756e-06   296: 2.07878e-06   299: 4.15756e-06   300: -2.07878e-06   564: 7.6233e-21   614: -4.23516e-22\n",
      "Row 293:   35: -0.000230029   36: -0.000819601   59: -0.000819601   60: -0.000179771   285: 3.83382e-05   286: 5.47688e-06   287: 3.83382e-05   288: 5.47688e-06   293: 0.0001366   294: 3.09167e-20   295: 2.99619e-05   296: -4.28027e-06   419: 2.99619e-05   420: -4.28027e-06   613: -2.19075e-05   615: -1.71211e-05\n",
      "Row 294:   35: -1.17738e-19   36: 0.0001366   59: -0.0001366   60: -9.99499e-20   285: -5.47688e-06   286: -2.73844e-06   287: 5.47688e-06   288: 2.73844e-06   293: 3.09167e-20   294: 1.46357e-05   295: -4.28027e-06   296: 2.14013e-06   419: 4.28027e-06   420: -2.14013e-06   613: -9.21148e-21   615: -7.72918e-21\n",
      "Row 295:   36: -0.000708777   37: -0.000174617   59: -0.000179771   60: -0.000708777   291: 2.91029e-05   292: -4.15756e-06   293: 2.99619e-05   294: -4.28027e-06   295: 0.00011813   296: 1.3129e-20   299: 2.91029e-05   300: 4.15756e-06   419: 2.99619e-05   420: 4.28027e-06   614: -1.66302e-05   615: -1.71211e-05\n",
      "Row 296:   36: 0.00011813   37: -9.57147e-20   59: -3.38813e-21   60: -0.00011813   291: -4.15756e-06   292: 2.07878e-06   293: -4.28027e-06   294: 2.14013e-06   295: 1.3129e-20   296: 1.26567e-05   299: 4.15756e-06   300: 2.07878e-06   419: 4.28027e-06   420: 2.14013e-06   614: -7.30566e-21   615: -6.35275e-22\n",
      "Row 297:   10: -0.000193739   37: -0.000761882   38: -0.000761882   61: -0.000187202   145: 3.22898e-05   146: 4.61283e-06   147: 3.22898e-05   148: 4.61283e-06   297: 0.00012698   298: -1.60936e-20   301: 3.12004e-05   302: -4.4572e-06   305: 3.12004e-05   306: -4.4572e-06   566: -1.84513e-05   616: -1.78288e-05\n",
      "Row 298:   10: 9.78323e-20   37: 0.00012698   38: -0.00012698   61: -6.77626e-21   145: -4.61283e-06   146: -2.30641e-06   147: 4.61283e-06   148: 2.30641e-06   297: -1.60936e-20   298: 1.3605e-05   301: -4.4572e-06   302: 2.2286e-06   305: 4.4572e-06   306: -2.2286e-06   566: 7.41154e-21   616: -7.41154e-22\n",
      "Row 299:   36: -0.000174617   37: -0.000662533   60: -0.000662533   61: -0.000156649   291: 2.91029e-05   292: 4.15756e-06   295: 2.91029e-05   296: 4.15756e-06   299: 0.000110422   300: 2.5411e-20   301: 2.61082e-05   302: -3.72974e-06   427: 2.61082e-05   428: -3.72974e-06   614: -1.66302e-05   617: -1.49189e-05\n",
      "Row 300:   36: -8.85149e-20   37: 0.000110422   60: -0.000110422   61: -8.47033e-20   291: -4.15756e-06   292: -2.07878e-06   295: 4.15756e-06   296: 2.07878e-06   299: 2.5411e-20   300: 1.18309e-05   301: -3.72974e-06   302: 1.86487e-06   427: 3.72974e-06   428: -1.86487e-06   614: -6.88214e-21   617: -6.77626e-21\n",
      "Row 301:   37: -0.000687702   38: -0.000187202   60: -0.000156649   61: -0.000687702   297: 3.12004e-05   298: -4.4572e-06   299: 2.61082e-05   300: -3.72974e-06   301: 0.000114617   302: 1.3976e-20   305: 3.12004e-05   306: 4.4572e-06   427: 2.61082e-05   428: 3.72974e-06   616: -1.78288e-05   617: -1.49189e-05\n",
      "Row 302:   37: 0.000114617   38: -9.99499e-20   60: -5.0822e-21   61: -0.000114617   297: -4.4572e-06   298: 2.2286e-06   299: -3.72974e-06   300: 1.86487e-06   301: 1.3976e-20   302: 1.22804e-05   305: 4.4572e-06   306: 2.2286e-06   427: 3.72974e-06   428: 1.86487e-06   616: -8.15269e-21   617: -8.47033e-22\n",
      "Row 303:   11: -0.000191761   38: -0.000747013   39: -0.000747013   61: -0.000181745   151: 3.19602e-05   152: 4.56575e-06   153: 3.19602e-05   154: 4.56575e-06   303: 0.000124502   304: -1.60936e-20   305: 3.02909e-05   306: -4.32727e-06   309: 3.02909e-05   310: -4.32727e-06   569: -1.8263e-05   618: -1.73091e-05\n",
      "Row 304:   11: 9.78323e-20   38: 0.000124502   39: -0.000124502   61: -3.38813e-21   151: -4.56575e-06   152: -2.28287e-06   153: 4.56575e-06   154: 2.28287e-06   303: -1.60936e-20   304: 1.33395e-05   305: -4.32727e-06   306: 2.16363e-06   309: 4.32727e-06   310: -2.16363e-06   569: 7.72918e-21   618: -9.52912e-22\n",
      "Row 305:   37: -0.000187202   38: -0.000737895   39: -0.000181745   61: -0.000737895   297: 3.12004e-05   298: 4.4572e-06   301: 3.12004e-05   302: 4.4572e-06   303: 3.02909e-05   304: -4.32727e-06   305: 0.000122982   306: 3.00697e-20   309: 3.02909e-05   310: 4.32727e-06   616: -1.78288e-05   618: -1.73091e-05\n",
      "Row 306:   37: -9.61382e-20   38: 0.000122982   39: -9.82558e-20   61: -0.000122982   297: -4.4572e-06   298: -2.2286e-06   301: 4.4572e-06   302: 2.2286e-06   303: -4.32727e-06   304: 2.16363e-06   305: 3.00697e-20   306: 1.31767e-05   309: 4.32727e-06   310: 2.16363e-06   616: -7.30566e-21   618: -7.72918e-21\n",
      "Row 307:   12: -0.000180421   39: -0.000686548   40: -0.000686548   63: -0.000162853   157: 3.00702e-05   158: 4.29574e-06   159: 3.00702e-05   160: 4.29574e-06   307: 0.000114425   308: -1.3976e-20   311: 2.71422e-05   312: -3.87745e-06   317: 2.71422e-05   318: -3.87745e-06   571: -1.71829e-05   620: -1.55098e-05\n",
      "Row 308:   12: 9.27501e-20   39: 0.000114425   40: -0.000114425   63: -3.38813e-21   157: -4.29574e-06   158: -2.14787e-06   159: 4.29574e-06   160: 2.14787e-06   307: -1.3976e-20   308: 1.22598e-05   311: -3.87745e-06   312: 1.93873e-06   317: 3.87745e-06   318: -1.93873e-06   571: 7.0939e-21   620: -5.29396e-22\n",
      "Row 309:   38: -0.000181745   39: -0.000670597   61: -0.000670597   63: -0.000153553   303: 3.02909e-05   304: 4.32727e-06   305: 3.02909e-05   306: 4.32727e-06   309: 0.000111766   310: 2.66815e-20   311: 2.55922e-05   312: -3.65603e-06   431: 2.55922e-05   432: -3.65603e-06   618: -1.73091e-05   621: -1.46241e-05\n",
      "Row 310:   38: -9.27501e-20   39: 0.000111766   61: -0.000111766   63: -8.30092e-20   303: -4.32727e-06   304: -2.16363e-06   305: 4.32727e-06   306: 2.16363e-06   309: 2.66815e-20   310: 1.19749e-05   311: -3.65603e-06   312: 1.82801e-06   431: 3.65603e-06   432: -1.82801e-06   618: -7.0939e-21   621: -6.77626e-21\n",
      "Row 311:   39: -0.000632812   40: -0.000162853   61: -0.000153553   63: -0.000632812   307: 2.71422e-05   308: -3.87745e-06   309: 2.55922e-05   310: -3.65603e-06   311: 0.000105469   312: 1.18585e-20   317: 2.71422e-05   318: 3.87745e-06   431: 2.55922e-05   432: 3.65603e-06   620: -1.55098e-05   621: -1.46241e-05\n",
      "Row 312:   39: 0.000105469   40: -8.72444e-20   61: -3.38813e-21   63: -0.000105469   307: -3.87745e-06   308: 1.93873e-06   309: -3.65603e-06   310: 1.82801e-06   311: 1.18585e-20   312: 1.13002e-05   317: 3.87745e-06   318: 1.93873e-06   431: 3.65603e-06   432: 1.82801e-06   620: -6.88214e-21   621: -8.47033e-22\n",
      "Row 313:   13: -0.000187239   40: -0.000783537   41: -0.000783537   62: -0.000204529   163: 3.12065e-05   164: 4.45807e-06   165: 3.12065e-05   166: 4.45807e-06   313: 0.000130589   314: -1.35525e-20   315: 3.40882e-05   316: -4.86975e-06   321: 3.40882e-05   322: -4.86975e-06   573: -1.78323e-05   619: -1.9479e-05\n",
      "Row 314:   13: 9.74088e-20   40: 0.000130589   41: -0.000130589   62: -6.77626e-21   163: -4.45807e-06   164: -2.22904e-06   165: 4.45807e-06   166: 2.22904e-06   313: -1.35525e-20   314: 1.39917e-05   315: -4.86975e-06   316: 2.43487e-06   321: 4.86975e-06   322: -2.43487e-06   573: 7.41154e-21   619: -7.41154e-22\n",
      "Row 315:   40: -0.00073744   41: -0.000204529   62: -0.00073744   63: -0.000164191   313: 3.40882e-05   314: -4.86975e-06   315: 0.000122907   316: 1.48231e-20   317: 2.73651e-05   318: -3.9093e-06   321: 3.40882e-05   322: 4.86975e-06   435: 2.73651e-05   436: -3.9093e-06   619: -1.9479e-05   622: -1.56372e-05\n",
      "Row 316:   40: 0.000122907   41: -1.11808e-19   62: -0.000122907   63: -5.0822e-21   313: -4.86975e-06   314: 2.43487e-06   315: 1.48231e-20   316: 1.31686e-05   317: -3.9093e-06   318: 1.95465e-06   321: 4.86975e-06   322: 2.43487e-06   435: 3.9093e-06   436: -1.95465e-06   619: -8.68209e-21   622: -7.41154e-22\n",
      "Row 317:   39: -0.000162853   40: -0.000654087   62: -0.000164191   63: -0.000654087   307: 2.71422e-05   308: 3.87745e-06   311: 2.71422e-05   312: 3.87745e-06   315: 2.73651e-05   316: -3.9093e-06   317: 0.000109015   318: 2.6258e-20   435: 2.73651e-05   436: 3.9093e-06   620: -1.55098e-05   622: -1.56372e-05\n",
      "Row 318:   39: -8.25857e-20   40: 0.000109015   62: -8.97855e-20   63: -0.000109015   307: -3.87745e-06   308: -1.93873e-06   311: 3.87745e-06   312: 1.93873e-06   315: -3.9093e-06   316: 1.95465e-06   317: 2.6258e-20   318: 1.16801e-05   435: 3.9093e-06   436: 1.95465e-06   620: -6.45863e-21   622: -6.67038e-21\n",
      "Row 319:   14: -0.000214364   41: -0.000873917   42: -0.000873917   64: -0.000222594   169: 3.57274e-05   170: 5.10391e-06   171: 3.57274e-05   172: 5.10391e-06   319: 0.000145653   320: -1.69407e-20   323: 3.7099e-05   324: -5.29986e-06   327: 3.7099e-05   328: -5.29986e-06   575: -2.04157e-05   623: -2.11994e-05\n",
      "Row 320:   14: 1.0842e-19   41: 0.000145653   42: -0.000145653   64: -6.77626e-21   169: -5.10391e-06   170: -2.55196e-06   171: 5.10391e-06   172: 2.55196e-06   319: -1.69407e-20   320: 1.56057e-05   323: -5.29986e-06   324: 2.64993e-06   327: 5.29986e-06   328: -2.64993e-06   575: 8.36445e-21   623: -9.52912e-22\n",
      "Row 321:   40: -0.000204529   41: -0.000837549   62: -0.000837549   64: -0.000214245   313: 3.40882e-05   314: 4.86975e-06   315: 3.40882e-05   316: 4.86975e-06   321: 0.000139591   322: 3.26108e-20   323: 3.57075e-05   324: -5.10107e-06   437: 3.57075e-05   438: -5.10107e-06   619: -1.9479e-05   624: -2.04043e-05\n",
      "Row 322:   40: -1.04609e-19   41: 0.000139591   62: -0.000139591   64: -1.16891e-19   313: -4.86975e-06   314: -2.43487e-06   315: 4.86975e-06   316: 2.43487e-06   321: 3.26108e-20   322: 1.49562e-05   323: -5.10107e-06   324: 2.55053e-06   437: 5.10107e-06   438: -2.55053e-06   619: -8.25857e-21   624: -9.31736e-21\n",
      "Row 323:   41: -0.000873678   42: -0.000222594   62: -0.000214245   64: -0.000873678   319: 3.7099e-05   320: -5.29986e-06   321: 3.57075e-05   322: -5.10107e-06   323: 0.000145613   324: 1.77877e-20   327: 3.7099e-05   328: 5.29986e-06   437: 3.57075e-05   438: 5.10107e-06   623: -2.11994e-05   624: -2.04043e-05\n",
      "Row 324:   41: 0.000145613   42: -1.23667e-19   62: -5.0822e-21   64: -0.000145613   319: -5.29986e-06   320: 2.64993e-06   321: -5.10107e-06   322: 2.55053e-06   323: 1.77877e-20   324: 1.56014e-05   327: 5.29986e-06   328: 2.64993e-06   437: 5.10107e-06   438: 2.55053e-06   623: -9.52912e-21   624: -1.05879e-21\n",
      "Row 325:   15: -0.000226354   42: -0.000918154   43: -0.000918154   65: -0.000232722   175: 3.77257e-05   176: 5.38939e-06   177: 3.77257e-05   178: 5.38939e-06   325: 0.000153026   326: -1.82112e-20   329: 3.87871e-05   330: -5.54101e-06   333: 3.87871e-05   334: -5.54101e-06   577: -2.15576e-05   625: -2.2164e-05\n",
      "Row 326:   15: 1.16044e-19   42: 0.000153026   43: -0.000153026   65: -6.77626e-21   175: -5.38939e-06   176: -2.6947e-06   177: 5.38939e-06   178: 2.6947e-06   325: -1.82112e-20   326: 1.63956e-05   329: -5.54101e-06   330: 2.77051e-06   333: 5.54101e-06   334: -2.77051e-06   577: 8.99973e-21   625: -1.16467e-21\n",
      "Row 327:   41: -0.000222594   42: -0.000919557   64: -0.000919557   65: -0.000237184   319: 3.7099e-05   320: 5.29986e-06   323: 3.7099e-05   324: 5.29986e-06   327: 0.000153259   328: 3.38813e-20   329: 3.95307e-05   330: -5.64725e-06   445: 3.95307e-05   446: -5.64725e-06   623: -2.11994e-05   626: -2.2589e-05\n",
      "Row 328:   41: -1.14349e-19   42: 0.000153259   64: -0.000153259   65: -1.30443e-19   319: -5.29986e-06   320: -2.64993e-06   323: 5.29986e-06   324: 2.64993e-06   327: 3.38813e-20   328: 1.64207e-05   329: -5.64725e-06   330: 2.82362e-06   445: 5.64725e-06   446: -2.82362e-06   623: -8.68209e-21   626: -1.05879e-20\n",
      "Row 329:   42: -0.000939814   43: -0.000232722   64: -0.000237184   65: -0.000939814   325: 3.87871e-05   326: -5.54101e-06   327: 3.95307e-05   328: -5.64725e-06   329: 0.000156636   330: 1.69407e-20   333: 3.87871e-05   334: 5.54101e-06   445: 3.95307e-05   446: 5.64725e-06   625: -2.2164e-05   626: -2.2589e-05\n",
      "Row 330:   42: 0.000156636   43: -1.28749e-19   64: -3.38813e-21   65: -0.000156636   325: -5.54101e-06   326: 2.77051e-06   327: -5.64725e-06   328: 2.82362e-06   329: 1.69407e-20   330: 1.67824e-05   333: 5.54101e-06   334: 2.77051e-06   445: 5.64725e-06   446: 2.82362e-06   625: -9.74088e-21   626: -1.16467e-21\n",
      "Row 331:   16: -0.000227255   43: -0.000922377   44: -0.000922377   66: -0.000233934   181: 3.78758e-05   182: 5.41083e-06   183: 3.78758e-05   184: 5.41083e-06   331: 0.00015373   332: -1.65171e-20   335: 3.8989e-05   336: -5.56985e-06   339: 3.8989e-05   340: -5.56985e-06   579: -2.16433e-05   627: -2.22794e-05\n",
      "Row 332:   16: 1.15196e-19   43: 0.00015373   44: -0.00015373   66: -5.0822e-21   181: -5.41083e-06   182: -2.70541e-06   183: 5.41083e-06   184: 2.70541e-06   331: -1.65171e-20   332: 1.6471e-05   335: -5.56985e-06   336: 2.78493e-06   339: 5.56985e-06   340: -2.78493e-06   579: 8.89385e-21   627: -9.52912e-22\n",
      "Row 333:   42: -0.000232722   43: -0.000927996   65: -0.000927996   66: -0.000231275   325: 3.87871e-05   326: 5.54101e-06   329: 3.87871e-05   330: 5.54101e-06   333: 0.000154666   334: 3.68459e-20   335: 3.85459e-05   336: -5.50656e-06   451: 3.85459e-05   452: -5.50656e-06   625: -2.2164e-05   628: -2.20262e-05\n",
      "Row 334:   42: -1.20279e-19   43: 0.000154666   65: -0.000154666   66: -1.25361e-19   325: -5.54101e-06   326: -2.77051e-06   329: 5.54101e-06   330: 2.77051e-06   333: 3.68459e-20   334: 1.65714e-05   335: -5.50656e-06   336: 2.75328e-06   451: 5.50656e-06   452: -2.75328e-06   625: -9.31736e-21   628: -9.635e-21\n",
      "Row 335:   43: -0.000930419   44: -0.000233934   65: -0.000231275   66: -0.000930419   331: 3.8989e-05   332: -5.56985e-06   333: 3.85459e-05   334: -5.50656e-06   335: 0.00015507   336: 1.77877e-20   339: 3.8989e-05   340: 5.56985e-06   451: 3.85459e-05   452: 5.50656e-06   627: -2.22794e-05   628: -2.20262e-05\n",
      "Row 336:   43: 0.00015507   44: -1.27055e-19   65: -5.0822e-21   66: -0.00015507   331: -5.56985e-06   332: 2.78493e-06   333: -5.50656e-06   334: 2.75328e-06   335: 1.77877e-20   336: 1.66146e-05   339: 5.56985e-06   340: 2.78493e-06   451: 5.50656e-06   452: 2.75328e-06   627: -1.02703e-20   628: -1.16467e-21\n",
      "Row 337:   18: -0.000234517   44: -0.00086474   45: -0.00086474   66: -0.000197853   191: 3.90862e-05   192: 5.58375e-06   193: 3.90862e-05   194: 5.58375e-06   337: 0.000144123   338: -1.77877e-20   339: 3.29755e-05   340: -4.71078e-06   343: 3.29755e-05   344: -4.71078e-06   608: -2.2335e-05   629: -1.88431e-05\n",
      "Row 338:   18: 1.19432e-19   44: 0.000144123   45: -0.000144123   66: -6.77626e-21   191: -5.58375e-06   192: -2.79187e-06   193: 5.58375e-06   194: 2.79187e-06   337: -1.77877e-20   338: 1.54418e-05   339: -4.71078e-06   340: 2.35539e-06   343: 4.71078e-06   344: -2.35539e-06   608: 9.1056e-21   629: -7.41154e-22\n",
      "Row 339:   43: -0.000233934   44: -0.000863574   45: -0.000197853   66: -0.000863574   331: 3.8989e-05   332: 5.56985e-06   335: 3.8989e-05   336: 5.56985e-06   337: 3.29755e-05   338: -4.71078e-06   339: 0.000143929   340: 3.30343e-20   343: 3.29755e-05   344: 4.71078e-06   627: -2.22794e-05   629: -1.88431e-05\n",
      "Row 340:   43: -1.19432e-19   44: 0.000143929   45: -1.10114e-19   66: -0.000143929   331: -5.56985e-06   332: -2.78493e-06   335: 5.56985e-06   336: 2.78493e-06   337: -4.71078e-06   338: 2.35539e-06   339: 3.30343e-20   340: 1.5421e-05   343: 4.71078e-06   344: 2.35539e-06   627: -9.21148e-21   629: -8.15269e-21\n",
      "Row 341:   19: -0.000189193   45: -0.000777649   46: -0.000777649   66: -0.000199632   197: 3.15321e-05   198: 4.50459e-06   199: 3.15321e-05   200: 4.50459e-06   341: 0.000129608   342: -1.48231e-20   343: 3.32719e-05   344: -4.75313e-06   347: 3.32719e-05   348: -4.75313e-06   583: -1.80184e-05   633: -1.90125e-05\n",
      "Row 342:   19: 9.74088e-20   45: 0.000129608   46: -0.000129608   66: -6.77626e-21   197: -4.50459e-06   198: -2.2523e-06   199: 4.50459e-06   200: 2.2523e-06   341: -1.48231e-20   342: 1.38866e-05   343: -4.75313e-06   344: 2.37657e-06   347: 4.75313e-06   348: -2.37657e-06   583: 7.6233e-21   633: -7.41154e-22\n",
      "Row 343:   44: -0.000197853   45: -0.000794969   46: -0.000199632   66: -0.000794969   337: 3.29755e-05   338: 4.71078e-06   339: 3.29755e-05   340: 4.71078e-06   341: 3.32719e-05   342: -4.75313e-06   343: 0.000132495   344: 3.04932e-20   347: 3.32719e-05   348: 4.75313e-06   629: -1.88431e-05   633: -1.90125e-05\n",
      "Row 344:   44: -1.02915e-19   45: 0.000132495   46: -1.0842e-19   66: -0.000132495   337: -4.71078e-06   338: -2.35539e-06   339: 4.71078e-06   340: 2.35539e-06   341: -4.75313e-06   342: 2.37657e-06   343: 3.04932e-20   344: 1.41959e-05   347: 4.75313e-06   348: 2.37657e-06   629: -7.72918e-21   633: -8.47033e-21\n",
      "Row 345:   20: -0.000233429   46: -0.000998187   47: -0.000998187   68: -0.000265665   203: 3.89048e-05   204: 5.55783e-06   205: 3.89048e-05   206: 5.55783e-06   345: 0.000166365   346: -1.82112e-20   349: 4.42775e-05   350: -6.32535e-06   355: 4.42775e-05   356: -6.32535e-06   585: -2.22313e-05   631: -2.53014e-05\n",
      "Row 346:   20: 1.19432e-19   46: 0.000166365   47: -0.000166365   68: -6.77626e-21   203: -5.55783e-06   204: -2.77892e-06   205: 5.55783e-06   206: 2.77892e-06   345: -1.82112e-20   346: 1.78248e-05   349: -6.32535e-06   350: 3.16268e-06   355: 6.32535e-06   356: -3.16268e-06   585: 9.31736e-21   631: -1.05879e-21\n",
      "Row 347:   45: -0.000199632   46: -0.000914443   66: -0.000914443   68: -0.00025759   341: 3.32719e-05   342: 4.75313e-06   343: 3.32719e-05   344: 4.75313e-06   347: 0.000152407   348: 3.43048e-20   349: 4.29317e-05   350: -6.1331e-06   457: 4.29317e-05   458: -6.1331e-06   633: -1.90125e-05   651: -2.45324e-05\n",
      "Row 348:   45: -1.03338e-19   46: 0.000152407   66: -0.000152407   68: -1.42302e-19   341: -4.75313e-06   342: -2.37657e-06   343: 4.75313e-06   344: 2.37657e-06   347: 3.43048e-20   348: 1.63293e-05   349: -6.1331e-06   350: 3.06655e-06   457: 6.1331e-06   458: -3.06655e-06   633: -8.04681e-21   651: -1.09055e-20\n",
      "Row 349:   46: -0.00104651   47: -0.000265665   66: -0.00025759   68: -0.00104651   345: 4.42775e-05   346: -6.32535e-06   347: 4.29317e-05   348: -6.1331e-06   349: 0.000174418   350: 2.03288e-20   355: 4.42775e-05   356: 6.32535e-06   457: 4.29317e-05   458: 6.1331e-06   631: -2.53014e-05   651: -2.45324e-05\n",
      "Row 350:   46: 0.000174418   47: -1.4569e-19   66: -5.0822e-21   68: -0.000174418   345: -6.32535e-06   346: 3.16268e-06   347: -6.1331e-06   348: 3.06655e-06   349: 2.03288e-20   350: 1.86877e-05   355: 6.32535e-06   356: 3.16268e-06   457: 6.1331e-06   458: 3.06655e-06   631: -1.14349e-20   651: -1.27055e-21\n",
      "Row 351:   21: -0.000241086   47: -0.000956662   48: -0.000956662   67: -0.000237245   209: 4.0181e-05   210: 5.74014e-06   211: 4.0181e-05   212: 5.74014e-06   351: 0.000159444   352: -1.77877e-20   353: 3.95408e-05   354: -5.64868e-06   359: 3.95408e-05   360: -5.64868e-06   587: -2.29606e-05   630: -2.25947e-05\n",
      "Row 352:   21: 1.24514e-19   47: 0.000159444   48: -0.000159444   67: -5.0822e-21   209: -5.74014e-06   210: -2.87007e-06   211: 5.74014e-06   212: 2.87007e-06   351: -1.77877e-20   352: 1.70832e-05   353: -5.64868e-06   354: 2.82434e-06   359: 5.64868e-06   360: -2.82434e-06   587: 9.52912e-21   630: -1.05879e-21\n",
      "Row 353:   47: -0.00103222   48: -0.000237245   67: -0.00103222   68: -0.000278867   351: 3.95408e-05   352: -5.64868e-06   353: 0.000172037   354: 1.69407e-20   355: 4.64778e-05   356: -6.63968e-06   359: 3.95408e-05   360: 5.64868e-06   459: 4.64778e-05   460: -6.63968e-06   630: -2.25947e-05   632: -2.65587e-05\n",
      "Row 354:   47: 0.000172037   48: -1.28749e-19   67: -0.000172037   68: -6.77626e-21   351: -5.64868e-06   352: 2.82434e-06   353: 1.69407e-20   354: 1.84325e-05   355: -6.63968e-06   356: 3.31984e-06   359: 5.64868e-06   360: 2.82434e-06   459: 6.63968e-06   460: -3.31984e-06   630: -1.00585e-20   632: -1.48231e-21\n",
      "Row 355:   46: -0.000265665   47: -0.00108906   67: -0.000278867   68: -0.00108906   345: 4.42775e-05   346: 6.32535e-06   349: 4.42775e-05   350: 6.32535e-06   353: 4.64778e-05   354: -6.63968e-06   355: 0.00018151   356: 4.02341e-20   459: 4.64778e-05   460: 6.63968e-06   631: -2.53014e-05   632: -2.65587e-05\n",
      "Row 356:   46: -1.36372e-19   47: 0.00018151   67: -1.52466e-19   68: -0.00018151   345: -6.32535e-06   346: -3.16268e-06   349: 6.32535e-06   350: 3.16268e-06   353: -6.63968e-06   354: 3.31984e-06   355: 4.02341e-20   356: 1.94476e-05   459: 6.63968e-06   460: 3.31984e-06   631: -1.05879e-20   632: -1.21761e-20\n",
      "Row 357:   22: -0.000222542   48: -0.000923082   49: -0.000923082   69: -0.000238999   215: 3.70903e-05   216: 5.29862e-06   217: 3.70903e-05   218: 5.29862e-06   357: 0.000153847   358: -1.69407e-20   361: 3.98332e-05   362: -5.69045e-06   365: 3.98332e-05   366: -5.69045e-06   589: -2.11945e-05   634: -2.27618e-05\n",
      "Row 358:   22: 1.14349e-19   48: 0.000153847   49: -0.000153847   69: -6.77626e-21   215: -5.29862e-06   216: -2.64931e-06   217: 5.29862e-06   218: 2.64931e-06   357: -1.69407e-20   358: 1.64836e-05   361: -5.69045e-06   362: 2.84523e-06   365: 5.69045e-06   366: -2.84523e-06   589: 8.99973e-21   634: -8.47033e-22\n",
      "Row 359:   47: -0.000237245   48: -0.000954782   67: -0.000954782   69: -0.000240146   351: 3.95408e-05   352: 5.64868e-06   353: 3.95408e-05   354: 5.64868e-06   359: 0.00015913   360: 3.68459e-20   361: 4.00244e-05   362: -5.71777e-06   461: 4.00244e-05   462: -5.71777e-06   630: -2.25947e-05   635: -2.28711e-05\n",
      "Row 360:   47: -1.21549e-19   48: 0.00015913   67: -0.00015913   69: -1.32137e-19   351: -5.64868e-06   352: -2.82434e-06   353: 5.64868e-06   354: 2.82434e-06   359: 3.68459e-20   360: 1.70497e-05   361: -5.71777e-06   362: 2.85888e-06   461: 5.71777e-06   462: -2.85888e-06   630: -9.21148e-21   635: -1.01644e-20\n",
      "Row 361:   48: -0.000958291   49: -0.000238999   67: -0.000240146   69: -0.000958291   357: 3.98332e-05   358: -5.69045e-06   359: 4.00244e-05   360: -5.71777e-06   361: 0.000159715   362: 1.86347e-20   365: 3.98332e-05   366: 5.69045e-06   461: 4.00244e-05   462: 5.71777e-06   634: -2.27618e-05   635: -2.28711e-05\n",
      "Row 362:   48: 0.000159715   49: -1.30443e-19   67: -6.77626e-21   69: -0.000159715   357: -5.69045e-06   358: 2.84523e-06   359: -5.71777e-06   360: 2.85888e-06   361: 1.86347e-20   362: 1.71123e-05   365: 5.69045e-06   366: 2.84523e-06   461: 5.71777e-06   462: 2.85888e-06   634: -1.02703e-20   635: -1.16467e-21\n",
      "Row 363:   23: -0.000195577   49: -0.00081391   50: -0.00081391   70: -0.000211378   221: 3.25962e-05   222: 4.65661e-06   223: 3.25962e-05   224: 4.65661e-06   363: 0.000135652   364: -1.3976e-20   367: 3.52296e-05   368: -5.0328e-06   371: 3.52296e-05   372: -5.0328e-06   591: -1.86264e-05   636: -2.01312e-05\n",
      "Row 364:   23: 9.86793e-20   49: 0.000135652   50: -0.000135652   70: -6.77626e-21   221: -4.65661e-06   222: -2.3283e-06   223: 4.65661e-06   224: 2.3283e-06   363: -1.3976e-20   364: 1.45341e-05   367: -5.0328e-06   368: 2.5164e-06   371: 5.0328e-06   372: -2.5164e-06   591: 7.72918e-21   636: -9.52912e-22\n",
      "Row 365:   48: -0.000238999   49: -0.000917801   69: -0.000917801   70: -0.000219901   357: 3.98332e-05   358: 5.69045e-06   361: 3.98332e-05   362: 5.69045e-06   365: 0.000152967   366: 3.47284e-20   367: 3.66502e-05   368: -5.23575e-06   471: 3.66502e-05   472: -5.23575e-06   634: -2.27618e-05   637: -2.0943e-05\n",
      "Row 366:   48: -1.21973e-19   49: 0.000152967   69: -0.000152967   70: -1.20279e-19   357: -5.69045e-06   358: -2.84523e-06   361: 5.69045e-06   362: 2.84523e-06   365: 3.47284e-20   366: 1.63893e-05   367: -5.23575e-06   368: 2.61787e-06   471: 5.23575e-06   472: -2.61787e-06   634: -9.52912e-21   637: -9.42324e-21\n",
      "Row 367:   49: -0.000862558   50: -0.000211378   69: -0.000219901   70: -0.000862558   363: 3.52296e-05   364: -5.0328e-06   365: 3.66502e-05   366: -5.23575e-06   367: 0.00014376   368: 1.60936e-20   371: 3.52296e-05   372: 5.0328e-06   471: 3.66502e-05   472: 5.23575e-06   636: -2.01312e-05   637: -2.0943e-05\n",
      "Row 368:   49: 0.00014376   50: -1.15196e-19   69: -5.0822e-21   70: -0.00014376   363: -5.0328e-06   364: 2.5164e-06   365: -5.23575e-06   366: 2.61787e-06   367: 1.60936e-20   368: 1.54028e-05   371: 5.0328e-06   372: 2.5164e-06   471: 5.23575e-06   472: 2.61787e-06   636: -8.99973e-21   637: -9.52912e-22\n",
      "Row 369:   24: -0.000193572   50: -0.000714938   51: -0.000714938   71: -0.000163897   225: 3.22621e-05   226: 4.60886e-06   227: 3.22621e-05   228: 4.60886e-06   369: 0.000119156   370: -1.56701e-20   373: 2.73161e-05   374: -3.9023e-06   377: 2.73161e-05   378: -3.9023e-06   593: -1.84355e-05   638: -1.56092e-05\n",
      "Row 370:   24: 9.86793e-20   50: 0.000119156   51: -0.000119156   71: -3.38813e-21   225: -4.60886e-06   226: -2.30443e-06   227: 4.60886e-06   228: 2.30443e-06   369: -1.56701e-20   370: 1.27667e-05   373: -3.9023e-06   374: 1.95115e-06   377: 3.9023e-06   378: -1.95115e-06   593: 7.83505e-21   638: -8.47033e-22\n",
      "Row 371:   49: -0.000211378   50: -0.000755265   70: -0.000755265   71: -0.000166255   363: 3.52296e-05   364: 5.0328e-06   367: 3.52296e-05   368: 5.0328e-06   371: 0.000125878   372: 2.79521e-20   373: 2.77092e-05   374: -3.95845e-06   477: 2.77092e-05   478: -3.95845e-06   636: -2.01312e-05   639: -1.58338e-05\n",
      "Row 372:   49: -1.0842e-19   50: 0.000125878   70: -0.000125878   71: -9.23266e-20   363: -5.0328e-06   364: -2.5164e-06   367: 5.0328e-06   368: 2.5164e-06   371: 2.79521e-20   372: 1.34869e-05   373: -3.95845e-06   374: 1.97923e-06   477: 3.95845e-06   478: -1.97923e-06   636: -8.68209e-21   639: -7.30566e-21\n",
      "Row 373:   50: -0.000660303   51: -0.000163897   70: -0.000166255   71: -0.000660303   369: 2.73161e-05   370: -3.9023e-06   371: 2.77092e-05   372: -3.95845e-06   373: 0.00011005   374: 1.27055e-20   377: 2.73161e-05   378: 3.9023e-06   477: 2.77092e-05   478: 3.95845e-06   638: -1.56092e-05   639: -1.58338e-05\n",
      "Row 374:   50: 0.00011005   51: -8.97855e-20   70: -3.38813e-21   71: -0.00011005   369: -3.9023e-06   370: 1.95115e-06   371: -3.95845e-06   372: 1.97923e-06   373: 1.27055e-20   374: 1.17911e-05   377: 3.9023e-06   378: 1.95115e-06   477: 3.95845e-06   478: 1.97923e-06   638: -7.0939e-21   639: -1.05879e-21\n",
      "Row 375:   25: -0.00019193   51: -0.000703651   52: -0.000703651   71: -0.000159896   231: 3.19883e-05   232: 4.56976e-06   233: 3.19883e-05   234: 4.56976e-06   375: 0.000117275   376: -1.35525e-20   377: 2.66493e-05   378: -3.80704e-06   381: 2.66493e-05   382: -3.80704e-06   596: -1.8279e-05   640: -1.52282e-05\n",
      "Row 376:   25: 9.78323e-20   51: 0.000117275   52: -0.000117275   71: -6.77626e-21   231: -4.56976e-06   232: -2.28488e-06   233: 4.56976e-06   234: 2.28488e-06   375: -1.35525e-20   376: 1.25652e-05   377: -3.80704e-06   378: 1.90352e-06   381: 3.80704e-06   382: -1.90352e-06   596: 7.51742e-21   640: -5.29396e-22\n",
      "Row 377:   50: -0.000163897   51: -0.000647585   52: -0.000159896   71: -0.000647585   369: 2.73161e-05   370: 3.9023e-06   373: 2.73161e-05   374: 3.9023e-06   375: 2.66493e-05   376: -3.80704e-06   377: 0.000107931   378: 2.4564e-20   381: 2.66493e-05   382: 3.80704e-06   638: -1.56092e-05   640: -1.52282e-05\n",
      "Row 378:   50: -8.42798e-20   51: 0.000107931   52: -8.72444e-20   71: -0.000107931   369: -3.9023e-06   370: -1.95115e-06   373: 3.9023e-06   374: 1.95115e-06   375: -3.80704e-06   376: 1.90352e-06   377: 2.4564e-20   378: 1.1564e-05   381: 3.80704e-06   382: 1.90352e-06   638: -6.24687e-21   640: -6.88214e-21\n",
      "Row 379:   26: -0.000189116   52: -0.000783464   53: -0.000783464   73: -0.000202616   237: 3.15193e-05   238: 4.50276e-06   239: 3.15193e-05   240: 4.50276e-06   379: 0.000130577   380: -1.43996e-20   383: 3.37693e-05   384: -4.82419e-06   389: 3.37693e-05   390: -4.82419e-06   598: -1.8011e-05   642: -1.92968e-05\n",
      "Row 380:   26: 9.57147e-20   52: 0.000130577   53: -0.000130577   73: -6.77626e-21   237: -4.50276e-06   238: -2.25138e-06   239: 4.50276e-06   240: 2.25138e-06   379: -1.43996e-20   380: 1.39904e-05   383: -4.82419e-06   384: 2.41209e-06   389: 4.82419e-06   390: -2.41209e-06   598: 7.6233e-21   642: -1.05879e-21\n",
      "Row 381:   51: -0.000159896   52: -0.000650023   71: -0.000650023   73: -0.000165116   375: 2.66493e-05   376: 3.80704e-06   377: 2.66493e-05   378: 3.80704e-06   381: 0.000108337   382: 2.49875e-20   383: 2.75193e-05   384: -3.93133e-06   483: 2.75193e-05   484: -3.93133e-06   640: -1.52282e-05   643: -1.57253e-05\n",
      "Row 382:   51: -8.17387e-20   52: 0.000108337   71: -0.000108337   73: -8.97855e-20   375: -3.80704e-06   376: -1.90352e-06   377: 3.80704e-06   378: 1.90352e-06   381: 2.49875e-20   382: 1.16076e-05   383: -3.93133e-06   384: 1.96566e-06   483: 3.93133e-06   484: -1.96566e-06   640: -6.35275e-21   643: -6.98802e-21\n",
      "Row 383:   52: -0.000735463   53: -0.000202616   71: -0.000165116   73: -0.000735463   379: 3.37693e-05   380: -4.82419e-06   381: 2.75193e-05   382: -3.93133e-06   383: 0.000122577   384: 1.52466e-20   389: 3.37693e-05   390: 4.82419e-06   483: 2.75193e-05   484: 3.93133e-06   642: -1.92968e-05   643: -1.57253e-05\n",
      "Row 384:   52: 0.000122577   53: -1.10114e-19   71: -1.69407e-21   73: -0.000122577   379: -4.82419e-06   380: 2.41209e-06   381: -3.93133e-06   382: 1.96566e-06   383: 1.52466e-20   384: 1.31333e-05   389: 4.82419e-06   390: 2.41209e-06   483: 3.93133e-06   484: 1.96566e-06   642: -8.47033e-21   643: -8.47033e-22\n",
      "Row 385:   27: -0.000210123   53: -0.000873488   54: -0.000873488   72: -0.000226621   243: 3.50206e-05   244: 5.00294e-06   245: 3.50206e-05   246: 5.00294e-06   385: 0.000145581   386: -1.56701e-20   387: 3.77701e-05   388: -5.39573e-06   393: 3.77701e-05   394: -5.39573e-06   600: -2.00118e-05   641: -2.15829e-05\n",
      "Row 386:   27: 1.05879e-19   53: 0.000145581   54: -0.000145581   72: -6.77626e-21   243: -5.00294e-06   244: -2.50147e-06   245: 5.00294e-06   246: 2.50147e-06   385: -1.56701e-20   386: 1.5598e-05   387: -5.39573e-06   388: 2.69787e-06   393: 5.39573e-06   394: -2.69787e-06   600: 8.25857e-21   641: -1.05879e-21\n",
      "Row 387:   53: -0.000886607   54: -0.000226621   72: -0.000886607   73: -0.000216683   385: 3.77701e-05   386: -5.39573e-06   387: 0.000147768   388: 1.90582e-20   389: 3.61138e-05   390: -5.15911e-06   393: 3.77701e-05   394: 5.39573e-06   485: 3.61138e-05   486: -5.15911e-06   641: -2.15829e-05   644: -2.06364e-05\n",
      "Row 388:   53: 0.000147768   54: -1.21973e-19   72: -0.000147768   73: -5.0822e-21   385: -5.39573e-06   386: 2.69787e-06   387: 1.90582e-20   388: 1.58323e-05   389: -5.15911e-06   390: 2.57955e-06   393: 5.39573e-06   394: 2.69787e-06   485: 5.15911e-06   486: -2.57955e-06   641: -9.52912e-21   644: -1.05879e-21\n",
      "Row 389:   52: -0.000202616   53: -0.000838597   72: -0.000216683   73: -0.000838597   379: 3.37693e-05   380: 4.82419e-06   383: 3.37693e-05   384: 4.82419e-06   387: 3.61138e-05   388: -5.15911e-06   389: 0.000139766   390: 3.34578e-20   485: 3.61138e-05   486: 5.15911e-06   642: -1.92968e-05   644: -2.06364e-05\n",
      "Row 390:   52: -1.05032e-19   53: 0.000139766   72: -1.16891e-19   73: -0.000139766   379: -4.82419e-06   380: -2.41209e-06   383: 4.82419e-06   384: 2.41209e-06   387: -5.15911e-06   388: 2.57955e-06   389: 3.34578e-20   390: 1.49749e-05   485: 5.15911e-06   486: 2.57955e-06   642: -7.83505e-21   644: -9.42324e-21\n",
      "Row 391:   28: -0.000215612   54: -0.000873592   55: -0.000873592   74: -0.000221184   249: 3.59353e-05   250: 5.13361e-06   251: 3.59353e-05   252: 5.13361e-06   391: 0.000145599   392: -1.69407e-20   395: 3.68641e-05   396: -5.2663e-06   399: 3.68641e-05   400: -5.2663e-06   602: -2.05345e-05   645: -2.10652e-05\n",
      "Row 392:   28: 1.08844e-19   54: 0.000145599   55: -0.000145599   74: -6.77626e-21   249: -5.13361e-06   250: -2.56681e-06   251: 5.13361e-06   252: 2.56681e-06   391: -1.69407e-20   392: 1.55999e-05   395: -5.2663e-06   396: 2.63315e-06   399: 5.2663e-06   400: -2.63315e-06   602: 8.47033e-21   645: -9.52912e-22\n",
      "Row 393:   53: -0.000226621   54: -0.000905115   72: -0.000905115   74: -0.000225937   385: 3.77701e-05   386: 5.39573e-06   387: 3.77701e-05   388: 5.39573e-06   393: 0.000150853   394: 3.34578e-20   395: 3.76562e-05   396: -5.37945e-06   487: 3.76562e-05   488: -5.37945e-06   641: -2.15829e-05   646: -2.15178e-05\n",
      "Row 394:   53: -1.14349e-19   54: 0.000150853   72: -0.000150853   74: -1.21973e-19   385: -5.39573e-06   386: -2.69787e-06   387: 5.39573e-06   388: 2.69787e-06   393: 3.34578e-20   394: 1.61628e-05   395: -5.37945e-06   396: 2.68973e-06   487: 5.37945e-06   488: -2.68973e-06   641: -8.99973e-21   646: -1.00585e-20\n",
      "Row 395:   54: -0.000894243   55: -0.000221184   72: -0.000225937   74: -0.000894243   391: 3.68641e-05   392: -5.2663e-06   393: 3.76562e-05   394: -5.37945e-06   395: 0.00014904   396: 1.65171e-20   399: 3.68641e-05   400: 5.2663e-06   487: 3.76562e-05   488: 5.37945e-06   645: -2.10652e-05   646: -2.15178e-05\n",
      "Row 396:   54: 0.00014904   55: -1.21973e-19   72: -3.38813e-21   74: -0.00014904   391: -5.2663e-06   392: 2.63315e-06   393: -5.37945e-06   394: 2.68973e-06   395: 1.65171e-20   396: 1.59686e-05   399: 5.2663e-06   400: 2.63315e-06   487: 5.37945e-06   488: 2.68973e-06   645: -9.52912e-21   646: -9.52912e-22\n",
      "Row 397:   29: -0.000256747   55: -0.000952748   56: -0.000952748   75: -0.000219627   255: 4.27911e-05   256: 6.11302e-06   257: 4.27911e-05   258: 6.11302e-06   397: 0.000158791   398: -1.94818e-20   401: 3.66046e-05   402: -5.22922e-06   405: 3.66046e-05   406: -5.22922e-06   604: -2.44521e-05   647: -2.09169e-05\n",
      "Row 398:   29: 1.30867e-19   55: 0.000158791   56: -0.000158791   75: -6.77626e-21   255: -6.11302e-06   256: -3.05651e-06   257: 6.11302e-06   258: 3.05651e-06   397: -1.94818e-20   398: 1.70134e-05   401: -5.22922e-06   402: 2.61461e-06   405: 5.22922e-06   406: -2.61461e-06   604: 1.00585e-20   647: -1.05879e-21\n",
      "Row 399:   54: -0.000221184   55: -0.000821741   74: -0.000821741   75: -0.000189686   391: 3.68641e-05   392: 5.2663e-06   395: 3.68641e-05   396: 5.2663e-06   399: 0.000136957   400: 3.04932e-20   401: 3.16143e-05   402: -4.51633e-06   495: 3.16143e-05   496: -4.51633e-06   645: -2.10652e-05   648: -1.80653e-05\n",
      "Row 400:   54: -1.13502e-19   55: 0.000136957   74: -0.000136957   75: -1.03338e-19   391: -5.2663e-06   392: -2.63315e-06   395: 5.2663e-06   396: 2.63315e-06   399: 3.04932e-20   400: 1.46739e-05   401: -4.51633e-06   402: 2.25817e-06   495: 4.51633e-06   496: -2.25817e-06   645: -8.68209e-21   648: -8.25857e-21\n",
      "Row 401:   55: -0.000818627   56: -0.000219627   74: -0.000189686   75: -0.000818627   397: 3.66046e-05   398: -5.22922e-06   399: 3.16143e-05   400: -4.51633e-06   401: 0.000136438   402: 1.69407e-20   405: 3.66046e-05   406: 5.22922e-06   495: 3.16143e-05   496: 4.51633e-06   647: -2.09169e-05   648: -1.80653e-05\n",
      "Row 402:   55: 0.000136438   56: -1.18585e-19   74: -6.77626e-21   75: -0.000136438   397: -5.22922e-06   398: 2.61461e-06   399: -4.51633e-06   400: 2.25817e-06   401: 1.69407e-20   402: 1.46183e-05   405: 5.22922e-06   406: 2.61461e-06   495: 4.51633e-06   496: 2.25817e-06   647: -9.21148e-21   648: -1.27055e-21\n",
      "Row 403:   32: -0.00027391   56: -0.000971458   58: -0.000971458   75: -0.000211819   269: 4.56516e-05   270: 6.52166e-06   271: 4.56516e-05   272: 6.52166e-06   403: 0.00016191   404: -2.28699e-20   405: 3.53032e-05   406: -5.04332e-06   415: 3.53032e-05   416: -5.04332e-06   653: -2.01733e-05   654: -2.60866e-05\n",
      "Row 404:   32: 1.41031e-19   56: 0.00016191   58: -0.00016191   75: -6.77626e-21   269: -6.52166e-06   270: -3.26083e-06   271: 6.52166e-06   272: 3.26083e-06   403: -2.28699e-20   404: 1.73475e-05   405: -5.04332e-06   406: 2.52166e-06   415: 5.04332e-06   416: -2.52166e-06   653: -8.47033e-22   654: 1.05879e-20\n",
      "Row 405:   55: -0.000219627   56: -0.000862894   58: -0.000211819   75: -0.000862894   397: 3.66046e-05   398: 5.22922e-06   401: 3.66046e-05   402: 5.22922e-06   403: 3.53032e-05   404: -5.04332e-06   405: 0.000143816   406: 3.34578e-20   415: 3.53032e-05   416: 5.04332e-06   647: -2.09169e-05   653: -2.01733e-05\n",
      "Row 406:   55: -1.11385e-19   56: 0.000143816   58: -1.18585e-19   75: -0.000143816   397: -5.22922e-06   398: -2.61461e-06   401: 5.22922e-06   402: 2.61461e-06   403: -5.04332e-06   404: 2.52166e-06   405: 3.34578e-20   406: 1.54088e-05   415: 5.04332e-06   416: 2.52166e-06   647: -8.36445e-21   653: -9.1056e-21\n",
      "Row 407:   33: -0.0002477   57: -0.000983207   58: -0.000983207   84: -0.000243903   275: 4.12834e-05   276: 5.89763e-06   277: 4.12834e-05   278: 5.89763e-06   407: 0.000163868   408: 3.7693e-20   413: 4.06505e-05   414: -5.80722e-06   417: 4.06505e-05   418: -5.80722e-06   612: -2.35905e-05   668: -2.32289e-05\n",
      "Row 408:   33: -1.25784e-19   57: 0.000163868   58: -0.000163868   84: -1.32137e-19   275: -5.89763e-06   276: -2.94881e-06   277: 5.89763e-06   278: 2.94881e-06   407: 3.7693e-20   408: 1.75573e-05   413: -5.80722e-06   414: 2.90361e-06   417: 5.80722e-06   418: -2.90361e-06   612: -9.52912e-21   668: -1.0482e-20\n",
      "Row 409:   34: -0.000256614   57: -0.00105374   76: -0.00105374   83: -0.000270255   281: 4.2769e-05   282: 6.10986e-06   283: 4.2769e-05   284: 6.10986e-06   409: 0.000175623   410: -1.94818e-20   411: 4.50424e-05   412: -6.43463e-06   503: 4.50424e-05   504: -6.43463e-06   652: -2.44394e-05   667: -2.57385e-05\n",
      "Row 410:   34: 1.32137e-19   57: 0.000175623   76: -0.000175623   83: -6.77626e-21   281: -6.10986e-06   282: -3.05493e-06   283: 6.10986e-06   284: 3.05493e-06   409: -1.94818e-20   410: 1.88167e-05   411: -6.43463e-06   412: 3.21732e-06   503: 6.43463e-06   504: -3.21732e-06   652: 1.00585e-20   667: -1.37643e-21\n",
      "Row 411:   57: -0.00104188   76: -0.000270255   83: -0.00104188   84: -0.000250684   409: 4.50424e-05   410: -6.43463e-06   411: 0.000173646   412: 1.90582e-20   413: 4.17806e-05   414: -5.96866e-06   503: 4.50424e-05   504: 6.43463e-06   535: 4.17806e-05   536: -5.96866e-06   667: -2.57385e-05   670: -2.38746e-05\n",
      "Row 412:   57: 0.000173646   76: -1.47384e-19   83: -0.000173646   84: -6.77626e-21   409: -6.43463e-06   410: 3.21732e-06   411: 1.90582e-20   412: 1.86049e-05   413: -5.96866e-06   414: 2.98433e-06   503: 6.43463e-06   504: 3.21732e-06   535: 5.96866e-06   536: -2.98433e-06   667: -1.18585e-20   670: -1.27055e-21\n",
      "Row 413:   57: -0.000989174   58: -0.000243903   83: -0.000250684   84: -0.000989174   407: 4.06505e-05   408: -5.80722e-06   411: 4.17806e-05   412: -5.96866e-06   413: 0.000164862   414: 1.94818e-20   417: 4.06505e-05   418: 5.80722e-06   535: 4.17806e-05   536: 5.96866e-06   668: -2.32289e-05   670: -2.38746e-05\n",
      "Row 414:   57: 0.000164862   58: -6.77626e-21   83: -1.37219e-19   84: -0.000164862   407: -5.80722e-06   408: 2.90361e-06   411: -5.96866e-06   412: 2.98433e-06   413: 1.94818e-20   414: 1.76638e-05   417: 5.80722e-06   418: 2.90361e-06   535: 5.96866e-06   536: 2.98433e-06   668: -8.47033e-22   670: -1.05879e-20\n",
      "Row 415:   56: -0.000211819   58: -0.000820879   75: -0.000820879   84: -0.00019862   403: 3.53032e-05   404: 5.04332e-06   405: 3.53032e-05   406: 5.04332e-06   415: 0.000136813   416: 3.17637e-20   417: 3.31033e-05   418: -4.72905e-06   501: 3.31033e-05   502: -4.72905e-06   653: -2.01733e-05   669: -1.89162e-05\n",
      "Row 416:   56: -1.08844e-19   58: 0.000136813   75: -0.000136813   84: -1.0842e-19   403: -5.04332e-06   404: -2.52166e-06   405: 5.04332e-06   406: 2.52166e-06   415: 3.17637e-20   416: 1.46586e-05   417: -4.72905e-06   418: 2.36452e-06   501: 4.72905e-06   502: -2.36452e-06   653: -8.36445e-21   669: -8.68209e-21\n",
      "Row 417:   57: -0.000243903   58: -0.000885046   75: -0.00019862   84: -0.000885046   407: 4.06505e-05   408: 5.80722e-06   413: 4.06505e-05   414: 5.80722e-06   415: 3.31033e-05   416: -4.72905e-06   417: 0.000147508   418: -1.86347e-20   501: 3.31033e-05   502: 4.72905e-06   668: -2.32289e-05   669: -1.89162e-05\n",
      "Row 418:   57: 1.25361e-19   58: 0.000147508   75: -3.38813e-21   84: -0.000147508   407: -5.80722e-06   408: -2.90361e-06   413: 5.80722e-06   414: 2.90361e-06   415: -4.72905e-06   416: 2.36452e-06   417: -1.86347e-20   418: 1.58044e-05   501: 4.72905e-06   502: 2.36452e-06   668: 9.635e-21   669: -1.16467e-21\n",
      "Row 419:   36: -0.000179771   59: -0.000770943   60: -0.000770943   77: -0.000205701   293: 2.99619e-05   294: 4.28027e-06   295: 2.99619e-05   296: 4.28027e-06   419: 0.000128491   420: -1.43996e-20   423: 3.42834e-05   424: -4.89763e-06   429: 3.42834e-05   430: -4.89763e-06   615: -1.71211e-05   657: -1.95905e-05\n",
      "Row 420:   36: 9.31736e-20   59: 0.000128491   60: -0.000128491   77: -5.0822e-21   293: -4.28027e-06   294: -2.14013e-06   295: 4.28027e-06   296: 2.14013e-06   419: -1.43996e-20   420: 1.37668e-05   423: -4.89763e-06   424: 2.44882e-06   429: 4.89763e-06   430: -2.44882e-06   615: 7.0939e-21   657: -9.52912e-22\n",
      "Row 421:   35: -0.000244851   59: -0.00109569   76: -0.00109569   86: -0.000302992   287: 4.08085e-05   288: 5.82979e-06   289: 4.08085e-05   290: 5.82979e-06   421: 0.000182614   422: 4.02341e-20   425: 5.04986e-05   426: -7.21408e-06   505: 5.04986e-05   506: -7.21408e-06   650: -2.33191e-05   675: -2.88563e-05\n",
      "Row 422:   35: -1.25361e-19   59: 0.000182614   76: -0.000182614   86: -1.66018e-19   287: -5.82979e-06   288: -2.91489e-06   289: 5.82979e-06   290: 2.91489e-06   421: 4.02341e-20   422: 1.95658e-05   425: -7.21408e-06   426: 3.60704e-06   505: 7.21408e-06   506: -3.60704e-06   650: -9.635e-21   675: -1.27055e-20\n",
      "Row 423:   59: -0.00106551   60: -0.000205701   77: -0.00106551   86: -0.000327056   419: 3.42834e-05   420: -4.89763e-06   423: 0.000177586   424: 1.52466e-20   425: 5.45094e-05   426: -7.78705e-06   429: 3.42834e-05   430: 4.89763e-06   509: 5.45094e-05   510: -7.78705e-06   657: -1.95905e-05   679: -3.11482e-05\n",
      "Row 424:   59: 0.000177586   60: -1.11808e-19   77: -0.000177586   86: -6.77626e-21   419: -4.89763e-06   420: 2.44882e-06   423: 1.52466e-20   424: 1.9027e-05   425: -7.78705e-06   426: 3.89353e-06   429: 4.89763e-06   430: 2.44882e-06   509: 7.78705e-06   510: -3.89353e-06   657: -9.1056e-21   679: -1.48231e-21\n",
      "Row 425:   59: -0.0012601   76: -0.000302992   77: -0.000327056   86: -0.0012601   421: 5.04986e-05   422: -7.21408e-06   423: 5.45094e-05   424: -7.78705e-06   425: 0.000210016   426: 2.4564e-20   505: 5.04986e-05   506: 7.21408e-06   509: 5.45094e-05   510: 7.78705e-06   675: -2.88563e-05   679: -3.11482e-05\n",
      "Row 426:   59: 0.000210016   76: -1.01644e-20   77: -1.76183e-19   86: -0.000210016   421: -7.21408e-06   422: 3.60704e-06   423: -7.78705e-06   424: 3.89353e-06   425: 2.4564e-20   426: 2.25017e-05   505: 7.21408e-06   506: 3.60704e-06   509: 7.78705e-06   510: 3.89353e-06   675: -1.27055e-21   679: -1.35525e-20\n",
      "Row 427:   37: -0.000156649   60: -0.000693557   61: -0.000693557   77: -0.000190129   299: 2.61082e-05   300: 3.72974e-06   301: 2.61082e-05   302: 3.72974e-06   427: 0.000115593   428: -1.2282e-20   429: 3.16882e-05   430: -4.52689e-06   433: 3.16882e-05   434: -4.52689e-06   617: -1.49189e-05   655: -1.81076e-05\n",
      "Row 428:   37: 7.96211e-20   60: 0.000115593   61: -0.000115593   77: -3.38813e-21   299: -3.72974e-06   300: -1.86487e-06   301: 3.72974e-06   302: 1.86487e-06   427: -1.2282e-20   428: 1.23849e-05   429: -4.52689e-06   430: 2.26345e-06   433: 4.52689e-06   434: -2.26345e-06   617: 6.14099e-21   655: -7.41154e-22\n",
      "Row 429:   59: -0.000205701   60: -0.00079166   61: -0.000190129   77: -0.00079166   419: 3.42834e-05   420: 4.89763e-06   423: 3.42834e-05   424: 4.89763e-06   427: 3.16882e-05   428: -4.52689e-06   429: 0.000131943   430: 3.13402e-20   433: 3.16882e-05   434: 4.52689e-06   655: -1.81076e-05   657: -1.95905e-05\n",
      "Row 430:   59: -1.05456e-19   60: 0.000131943   61: -1.05032e-19   77: -0.000131943   419: -4.89763e-06   420: -2.44882e-06   423: 4.89763e-06   424: 2.44882e-06   427: -4.52689e-06   428: 2.26345e-06   429: 3.13402e-20   430: 1.41368e-05   433: 4.52689e-06   434: 2.26345e-06   655: -8.15269e-21   657: -8.04681e-21\n",
      "Row 431:   39: -0.000153553   61: -0.000679148   63: -0.000679148   77: -0.000186021   309: 2.55922e-05   310: 3.65603e-06   311: 2.55922e-05   312: 3.65603e-06   431: 0.000113191   432: -1.27055e-20   433: 3.10035e-05   434: -4.42907e-06   443: 3.10035e-05   444: -4.42907e-06   621: -1.46241e-05   656: -1.77163e-05\n",
      "Row 432:   39: 7.75035e-20   61: 0.000113191   63: -0.000113191   77: -5.0822e-21   309: -3.65603e-06   310: -1.82801e-06   311: 3.65603e-06   312: 1.82801e-06   431: -1.27055e-20   432: 1.21276e-05   433: -4.42907e-06   434: 2.21454e-06   443: 4.42907e-06   444: -2.21454e-06   621: 5.92923e-21   656: -9.52912e-22\n",
      "Row 433:   60: -0.000190129   61: -0.000752301   63: -0.000186021   77: -0.000752301   427: 3.16882e-05   428: 4.52689e-06   429: 3.16882e-05   430: 4.52689e-06   431: 3.10035e-05   432: -4.42907e-06   433: 0.000125384   434: 2.75286e-20   443: 3.10035e-05   444: 4.42907e-06   655: -1.81076e-05   656: -1.77163e-05\n",
      "Row 434:   60: -9.78323e-20   61: 0.000125384   63: -9.99499e-20   77: -0.000125384   427: -4.52689e-06   428: -2.26345e-06   429: 4.52689e-06   430: 2.26345e-06   431: -4.42907e-06   432: 2.21454e-06   433: 2.75286e-20   434: 1.34339e-05   443: 4.42907e-06   444: 2.21454e-06   655: -7.51742e-21   656: -8.25857e-21\n",
      "Row 435:   40: -0.000164191   62: -0.000718445   63: -0.000718445   77: -0.000195032   315: 2.73651e-05   316: 3.9093e-06   317: 2.73651e-05   318: 3.9093e-06   435: 0.000119741   436: 2.71051e-20   439: 3.25053e-05   440: -4.64361e-06   443: 3.25053e-05   444: -4.64361e-06   622: -1.56372e-05   678: -1.85745e-05\n",
      "Row 436:   40: -8.47033e-20   62: 0.000119741   63: -0.000119741   77: -1.05032e-19   315: -3.9093e-06   316: -1.95465e-06   317: 3.9093e-06   318: 1.95465e-06   435: 2.71051e-20   436: 1.28294e-05   439: -4.64361e-06   440: 2.32181e-06   443: 4.64361e-06   444: -2.32181e-06   622: -6.56451e-21   678: -8.57621e-21\n",
      "Row 437:   41: -0.000214245   62: -0.000895827   64: -0.000895827   78: -0.000233669   321: 3.57075e-05   322: 5.10107e-06   323: 3.57075e-05   324: 5.10107e-06   437: 0.000149304   438: -1.60936e-20   441: 3.89448e-05   442: -5.56354e-06   447: 3.89448e-05   448: -5.56354e-06   624: -2.04043e-05   659: -2.22541e-05\n",
      "Row 438:   41: 1.10961e-19   62: 0.000149304   64: -0.000149304   78: -8.47033e-21   321: -5.10107e-06   322: -2.55053e-06   323: 5.10107e-06   324: 2.55053e-06   437: -1.60936e-20   438: 1.59969e-05   441: -5.56354e-06   442: 2.78177e-06   447: 5.56354e-06   448: -2.78177e-06   624: 8.36445e-21   659: -1.27055e-21\n",
      "Row 439:   62: -0.000920744   63: -0.000195032   77: -0.000920744   78: -0.00026534   435: 3.25053e-05   436: -4.64361e-06   439: 0.000153457   440: 1.90582e-20   441: 4.42234e-05   442: -6.31763e-06   443: 3.25053e-05   444: 4.64361e-06   507: 4.42234e-05   508: -6.31763e-06   678: -1.85745e-05   684: -2.52705e-05\n",
      "Row 440:   62: 0.000153457   63: -3.38813e-21   77: -0.000153457   78: -1.4569e-19   435: -4.64361e-06   436: 2.32181e-06   439: 1.90582e-20   440: 1.64419e-05   441: -6.31763e-06   442: 3.15881e-06   443: 4.64361e-06   444: 2.32181e-06   507: 6.31763e-06   508: -3.15881e-06   678: -9.52912e-22   684: -1.12232e-20\n",
      "Row 441:   62: -0.000998018   64: -0.000233669   77: -0.00026534   78: -0.000998018   437: 3.89448e-05   438: -5.56354e-06   439: 4.42234e-05   440: -6.31763e-06   441: 0.000166336   442: 1.60936e-20   447: 3.89448e-05   448: 5.56354e-06   507: 4.42234e-05   508: 6.31763e-06   659: -2.22541e-05   684: -2.52705e-05\n",
      "Row 442:   62: 0.000166336   64: -1.28749e-19   77: -5.0822e-21   78: -0.000166336   437: -5.56354e-06   438: 2.78177e-06   439: -6.31763e-06   440: 3.15881e-06   441: 1.60936e-20   442: 1.78217e-05   447: 5.56354e-06   448: 2.78177e-06   507: 6.31763e-06   508: 3.15881e-06   659: -1.00585e-20   684: -1.48231e-21\n",
      "Row 443:   61: -0.000186021   62: -0.000195032   63: -0.000762106   77: -0.000762106   431: 3.10035e-05   432: 4.42907e-06   433: 3.10035e-05   434: 4.42907e-06   435: 3.25053e-05   436: 4.64361e-06   439: 3.25053e-05   440: 4.64361e-06   443: 0.000127018   444: -1.69407e-21   656: -1.77163e-05   678: -1.85745e-05\n",
      "Row 444:   61: -9.52912e-20   62: 9.86793e-20   63: 0.000127018   77: -0.000127018   431: -4.42907e-06   432: -2.21454e-06   433: 4.42907e-06   434: 2.21454e-06   435: -4.64361e-06   436: -2.32181e-06   439: 4.64361e-06   440: 2.32181e-06   443: -1.69407e-21   444: 1.3609e-05   656: -7.19978e-21   678: 7.72918e-21\n",
      "Row 445:   42: -0.000237184   64: -0.000941648   65: -0.000941648   82: -0.000233639   327: 3.95307e-05   328: 5.64725e-06   329: 3.95307e-05   330: 5.64725e-06   445: 0.000156941   446: -1.86347e-20   449: 3.89399e-05   450: -5.56284e-06   455: 3.89399e-05   456: -5.56284e-06   626: -2.2589e-05   665: -2.22514e-05\n",
      "Row 446:   42: 1.21973e-19   64: 0.000156941   65: -0.000156941   82: -6.77626e-21   327: -5.64725e-06   328: -2.82362e-06   329: 5.64725e-06   330: 2.82362e-06   445: -1.86347e-20   446: 1.68151e-05   449: -5.56284e-06   450: 2.78142e-06   455: 5.56284e-06   456: -2.78142e-06   626: 9.52912e-21   665: -1.05879e-21\n",
      "Row 447:   62: -0.000233669   64: -0.000970004   78: -0.000970004   82: -0.000251334   437: 3.89448e-05   438: 5.56354e-06   441: 3.89448e-05   442: 5.56354e-06   447: 0.000161667   448: 3.72694e-20   449: 4.18889e-05   450: -5.98413e-06   511: 4.18889e-05   512: -5.98413e-06   659: -2.22541e-05   666: -2.39365e-05\n",
      "Row 448:   62: -1.19432e-19   64: 0.000161667   78: -0.000161667   82: -1.38913e-19   437: -5.56354e-06   438: -2.78177e-06   441: 5.56354e-06   442: 2.78177e-06   447: 3.72694e-20   448: 1.73215e-05   449: -5.98413e-06   450: 2.99207e-06   511: 5.98413e-06   512: -2.99207e-06   659: -8.89385e-21   666: -1.10114e-20\n",
      "Row 449:   64: -0.000969946   65: -0.000233639   78: -0.000251334   82: -0.000969946   445: 3.89399e-05   446: -5.56284e-06   447: 4.18889e-05   448: -5.98413e-06   449: 0.000161658   450: 1.77877e-20   455: 3.89399e-05   456: 5.56284e-06   511: 4.18889e-05   512: 5.98413e-06   665: -2.22514e-05   666: -2.39365e-05\n",
      "Row 450:   64: 0.000161658   65: -1.25361e-19   78: -6.77626e-21   82: -0.000161658   445: -5.56284e-06   446: 2.78142e-06   447: -5.98413e-06   448: 2.99207e-06   449: 1.77877e-20   450: 1.73205e-05   455: 5.56284e-06   456: 2.78142e-06   511: 5.98413e-06   512: 2.99207e-06   665: -1.01644e-20   666: -1.37643e-21\n",
      "Row 451:   43: -0.000231275   65: -0.000988364   66: -0.000988364   68: -0.000262906   333: 3.85459e-05   334: 5.50656e-06   335: 3.85459e-05   336: 5.50656e-06   451: 0.000164727   452: -1.73642e-20   453: 4.38177e-05   454: -6.25968e-06   457: 4.38177e-05   458: -6.25968e-06   628: -2.20262e-05   658: -2.50387e-05\n",
      "Row 452:   43: 1.19432e-19   65: 0.000164727   66: -0.000164727   68: -8.47033e-21   333: -5.50656e-06   334: -2.75328e-06   335: 5.50656e-06   336: 2.75328e-06   451: -1.73642e-20   452: 1.76494e-05   453: -6.25968e-06   454: 3.12984e-06   457: 6.25968e-06   458: -3.12984e-06   628: 8.99973e-21   658: -1.05879e-21\n",
      "Row 453:   65: -0.00108254   66: -0.000262906   68: -0.00108254   82: -0.000278364   451: 4.38177e-05   452: -6.25968e-06   453: 0.000180423   454: 1.86347e-20   455: 4.6394e-05   456: -6.62771e-06   457: 4.38177e-05   458: 6.25968e-06   469: 4.6394e-05   470: -6.62771e-06   658: -2.50387e-05   673: -2.65109e-05\n",
      "Row 454:   65: 0.000180423   66: -1.43996e-19   68: -0.000180423   82: -3.38813e-21   451: -6.25968e-06   452: 3.12984e-06   453: 1.86347e-20   454: 1.93311e-05   455: -6.62771e-06   456: 3.31386e-06   457: 6.25968e-06   458: 3.12984e-06   469: 6.62771e-06   470: -3.31386e-06   658: -1.12232e-20   673: -1.27055e-21\n",
      "Row 455:   64: -0.000233639   65: -0.00102401   68: -0.000278364   82: -0.00102401   445: 3.89399e-05   446: 5.56284e-06   449: 3.89399e-05   450: 5.56284e-06   453: 4.6394e-05   454: -6.62771e-06   455: 0.000170668   456: 3.7693e-20   469: 4.6394e-05   470: 6.62771e-06   665: -2.22514e-05   673: -2.65109e-05\n",
      "Row 456:   64: -1.20279e-19   65: 0.000170668   68: -1.49078e-19   82: -0.000170668   445: -5.56284e-06   446: -2.78142e-06   449: 5.56284e-06   450: 2.78142e-06   453: -6.62771e-06   454: 3.31386e-06   455: 3.7693e-20   456: 1.82858e-05   469: 6.62771e-06   470: 3.31386e-06   665: -9.21148e-21   673: -1.2282e-20\n",
      "Row 457:   46: -0.00025759   65: -0.000262906   66: -0.00104099   68: -0.00104099   347: 4.29317e-05   348: 6.1331e-06   349: 4.29317e-05   350: 6.1331e-06   451: 4.38177e-05   452: 6.25968e-06   453: 4.38177e-05   454: 6.25968e-06   457: 0.000173499   458: 1.27055e-21   651: -2.45324e-05   658: -2.50387e-05\n",
      "Row 458:   46: 1.32137e-19   65: -1.34678e-19   66: 0.000173499   68: -0.000173499   347: -6.1331e-06   348: -3.06655e-06   349: 6.1331e-06   350: 3.06655e-06   451: -6.25968e-06   452: -3.12984e-06   453: 6.25968e-06   454: 3.12984e-06   457: 1.27055e-21   458: 1.85892e-05   651: 1.02703e-20   658: -1.01644e-20\n",
      "Row 459:   47: -0.000278867   67: -0.00101514   68: -0.00101514   81: -0.000228703   353: 4.64778e-05   354: 6.63968e-06   355: 4.64778e-05   356: 6.63968e-06   459: 0.00016919   460: 3.81165e-20   465: 3.81171e-05   466: -5.44531e-06   467: 3.81171e-05   468: -5.44531e-06   632: -2.65587e-05   663: -2.17812e-05\n",
      "Row 460:   47: -1.42725e-19   67: 0.00016919   68: -0.00016919   81: -1.27055e-19   353: -6.63968e-06   354: -3.31984e-06   355: 6.63968e-06   356: 3.31984e-06   459: 3.81165e-20   460: 1.81275e-05   465: -5.44531e-06   466: 2.72265e-06   467: 5.44531e-06   468: -2.72265e-06   632: -1.07997e-20   663: -9.84676e-21\n",
      "Row 461:   48: -0.000240146   67: -0.000982487   69: -0.000982487   80: -0.000251097   359: 4.00244e-05   360: 5.71777e-06   361: 4.00244e-05   362: 5.71777e-06   461: 0.000163748   462: -1.82112e-20   463: 4.18495e-05   464: -5.9785e-06   475: 4.18495e-05   476: -5.9785e-06   635: -2.28711e-05   661: -2.3914e-05\n",
      "Row 462:   48: 1.23243e-19   67: 0.000163748   69: -0.000163748   80: -5.0822e-21   359: -5.71777e-06   360: -2.85888e-06   361: 5.71777e-06   362: 2.85888e-06   461: -1.82112e-20   462: 1.75444e-05   463: -5.9785e-06   464: 2.98925e-06   475: 5.9785e-06   476: -2.98925e-06   635: 9.31736e-21   661: -1.16467e-21\n",
      "Row 463:   67: -0.000927119   69: -0.000251097   80: -0.000927119   81: -0.000212463   461: 4.18495e-05   462: -5.9785e-06   463: 0.00015452   464: 2.03288e-20   465: 3.54104e-05   466: -5.05863e-06   475: 4.18495e-05   476: 5.9785e-06   523: 3.54104e-05   524: -5.05863e-06   661: -2.3914e-05   664: -2.02345e-05\n",
      "Row 464:   67: 0.00015452   69: -1.35525e-19   80: -0.00015452   81: -8.47033e-21   461: -5.9785e-06   462: 2.98925e-06   463: 2.03288e-20   464: 1.65557e-05   465: -5.05863e-06   466: 2.52932e-06   475: 5.9785e-06   476: 2.98925e-06   523: 5.05863e-06   524: -2.52932e-06   661: -1.05879e-20   664: -1.05879e-21\n",
      "Row 465:   67: -0.000882331   68: -0.000228703   80: -0.000212463   81: -0.000882331   459: 3.81171e-05   460: -5.44531e-06   463: 3.54104e-05   464: -5.05863e-06   465: 0.000147055   466: 1.65171e-20   467: 3.81171e-05   468: 5.44531e-06   523: 3.54104e-05   524: 5.05863e-06   663: -2.17812e-05   664: -2.02345e-05\n",
      "Row 466:   67: 0.000147055   68: -5.0822e-21   80: -1.16891e-19   81: -0.000147055   459: -5.44531e-06   460: 2.72265e-06   463: -5.05863e-06   464: 2.52932e-06   465: 1.65171e-20   466: 1.57559e-05   467: 5.44531e-06   468: 2.72265e-06   523: 5.05863e-06   524: 2.52932e-06   663: -1.27055e-21   664: -8.78797e-21\n",
      "Row 467:   67: -0.000228703   68: -0.000923714   81: -0.000923714   82: -0.000233154   459: 3.81171e-05   460: 5.44531e-06   465: 3.81171e-05   466: 5.44531e-06   467: 0.000153952   468: -1.73642e-20   469: 3.8859e-05   470: -5.55129e-06   529: 3.8859e-05   530: -5.55129e-06   663: -2.17812e-05   680: -2.22051e-05\n",
      "Row 468:   67: 1.15196e-19   68: 0.000153952   81: -0.000153952   82: -8.47033e-21   459: -5.44531e-06   460: -2.72265e-06   465: 5.44531e-06   466: 2.72265e-06   467: -1.73642e-20   468: 1.64949e-05   469: -5.55129e-06   470: 2.77564e-06   529: 5.55129e-06   530: -2.77564e-06   663: 8.89385e-21   680: -9.52912e-22\n",
      "Row 469:   65: -0.000278364   68: -0.00102304   81: -0.000233154   82: -0.00102304   453: 4.6394e-05   454: 6.62771e-06   455: 4.6394e-05   456: 6.62771e-06   467: 3.8859e-05   468: -5.55129e-06   469: 0.000170506   470: 3.89635e-20   529: 3.8859e-05   530: 5.55129e-06   673: -2.65109e-05   680: -2.22051e-05\n",
      "Row 470:   65: -1.42302e-19   68: 0.000170506   81: -1.28749e-19   82: -0.000170506   453: -6.62771e-06   454: -3.31386e-06   455: 6.62771e-06   456: 3.31386e-06   467: -5.55129e-06   468: 2.77564e-06   469: 3.89635e-20   470: 1.82685e-05   529: 5.55129e-06   530: 2.77564e-06   673: -1.07997e-20   680: -9.84676e-21\n",
      "Row 471:   49: -0.000219901   69: -0.000980862   70: -0.000980862   79: -0.00027053   365: 3.66502e-05   366: 5.23575e-06   367: 3.66502e-05   368: 5.23575e-06   471: 0.000163477   472: -1.60936e-20   473: 4.50883e-05   474: -6.44118e-06   481: 4.50883e-05   482: -6.44118e-06   637: -2.0943e-05   660: -2.57647e-05\n",
      "Row 472:   49: 1.10961e-19   69: 0.000163477   70: -0.000163477   79: -8.47033e-21   365: -5.23575e-06   366: -2.61787e-06   367: 5.23575e-06   368: 2.61787e-06   471: -1.60936e-20   472: 1.75154e-05   473: -6.44118e-06   474: 3.22059e-06   481: 6.44118e-06   482: -3.22059e-06   637: 8.57621e-21   660: -1.05879e-21\n",
      "Row 473:   69: -0.00110497   70: -0.00027053   79: -0.00110497   80: -0.000281956   471: 4.50883e-05   472: -6.44118e-06   473: 0.000184162   474: 2.11758e-20   475: 4.69926e-05   476: -6.71323e-06   481: 4.50883e-05   482: 6.44118e-06   517: 4.69926e-05   518: -6.71323e-06   660: -2.57647e-05   662: -2.68529e-05\n",
      "Row 474:   69: 0.000184162   70: -1.4569e-19   79: -0.000184162   80: -3.38813e-21   471: -6.44118e-06   472: 3.22059e-06   473: 2.11758e-20   474: 1.97316e-05   475: -6.71323e-06   476: 3.35662e-06   481: 6.44118e-06   482: 3.22059e-06   517: 6.71323e-06   518: -3.35662e-06   660: -1.16467e-20   662: -1.16467e-21\n",
      "Row 475:   67: -0.000251097   69: -0.00106611   79: -0.000281956   80: -0.00106611   461: 4.18495e-05   462: 5.9785e-06   463: 4.18495e-05   464: 5.9785e-06   473: 4.69926e-05   474: -6.71323e-06   475: 0.000177684   476: 3.9387e-20   517: 4.69926e-05   518: 6.71323e-06   661: -2.3914e-05   662: -2.68529e-05\n",
      "Row 476:   67: -1.27055e-19   69: 0.000177684   79: -1.52466e-19   80: -0.000177684   461: -5.9785e-06   462: -2.98925e-06   463: 5.9785e-06   464: 2.98925e-06   473: -6.71323e-06   474: 3.35662e-06   475: 3.9387e-20   476: 1.90376e-05   517: 6.71323e-06   518: 3.35662e-06   661: -9.74088e-21   662: -1.28114e-20\n",
      "Row 477:   50: -0.000166255   70: -0.000677243   71: -0.000677243   73: -0.000172366   371: 2.77092e-05   372: 3.95845e-06   373: 2.77092e-05   374: 3.95845e-06   477: 0.000112874   478: -1.3976e-20   479: 2.87277e-05   480: -4.10396e-06   483: 2.87277e-05   484: -4.10396e-06   639: -1.58338e-05   671: -1.64159e-05\n",
      "Row 478:   50: 8.63974e-20   70: 0.000112874   71: -0.000112874   73: -3.38813e-21   371: -3.95845e-06   372: -1.97923e-06   373: 3.95845e-06   374: 1.97923e-06   477: -1.3976e-20   478: 1.20936e-05   479: -4.10396e-06   480: 2.05198e-06   483: 4.10396e-06   484: -2.05198e-06   639: 6.67038e-21   671: -7.41154e-22\n",
      "Row 479:   70: -0.000870681   71: -0.000172366   73: -0.000870681   79: -0.000262974   477: 2.87277e-05   478: -4.10396e-06   479: 0.000145113   480: 1.35525e-20   481: 4.3829e-05   482: -6.26129e-06   483: 2.87277e-05   484: 4.10396e-06   493: 4.3829e-05   494: -6.26129e-06   671: -1.64159e-05   677: -2.50451e-05\n",
      "Row 480:   70: 0.000145113   71: -9.40207e-20   73: -0.000145113   79: -8.47033e-21   477: -4.10396e-06   478: 2.05198e-06   479: 1.35525e-20   480: 1.55479e-05   481: -6.26129e-06   482: 3.13064e-06   483: 4.10396e-06   484: 2.05198e-06   493: 6.26129e-06   494: -3.13064e-06   671: -7.51742e-21   677: -1.05879e-21\n",
      "Row 481:   69: -0.00027053   70: -0.00106701   73: -0.000262974   79: -0.00106701   471: 4.50883e-05   472: 6.44118e-06   473: 4.50883e-05   474: 6.44118e-06   479: 4.3829e-05   480: -6.26129e-06   481: 0.000177835   482: 4.10811e-20   493: 4.3829e-05   494: 6.26129e-06   660: -2.57647e-05   677: -2.50451e-05\n",
      "Row 482:   69: -1.36796e-19   70: 0.000177835   73: -1.4569e-19   79: -0.000177835   471: -6.44118e-06   472: -3.22059e-06   473: 6.44118e-06   474: 3.22059e-06   479: -6.26129e-06   480: 3.13064e-06   481: 4.10811e-20   482: 1.90537e-05   493: 6.26129e-06   494: 3.13064e-06   660: -1.05879e-20   677: -1.14349e-20\n",
      "Row 483:   52: -0.000165116   70: -0.000172366   71: -0.000674964   73: -0.000674964   381: 2.75193e-05   382: 3.93133e-06   383: 2.75193e-05   384: 3.93133e-06   477: 2.87277e-05   478: 4.10396e-06   479: 2.87277e-05   480: 4.10396e-06   483: 0.000112494   484: 8.47033e-22   643: -1.57253e-05   671: -1.64159e-05\n",
      "Row 484:   52: 8.25857e-20   70: -8.76679e-20   71: 0.000112494   73: -0.000112494   381: -3.93133e-06   382: -1.96566e-06   383: 3.93133e-06   384: 1.96566e-06   477: -4.10396e-06   478: -2.05198e-06   479: 4.10396e-06   480: 2.05198e-06   483: 8.47033e-22   484: 1.20529e-05   643: 6.45863e-21   671: -6.98802e-21\n",
      "Row 485:   53: -0.000216683   72: -0.000952186   73: -0.000952186   79: -0.000259411   387: 3.61138e-05   388: 5.15911e-06   389: 3.61138e-05   390: 5.15911e-06   485: 0.000158698   486: 3.72694e-20   489: 4.32351e-05   490: -6.17644e-06   493: 4.32351e-05   494: -6.17644e-06   644: -2.06364e-05   682: -2.47058e-05\n",
      "Row 486:   53: -1.11385e-19   72: 0.000158698   73: -0.000158698   79: -1.38913e-19   387: -5.15911e-06   388: -2.57955e-06   389: 5.15911e-06   390: 2.57955e-06   485: 3.72694e-20   486: 1.70033e-05   489: -6.17644e-06   490: 3.08822e-06   493: 6.17644e-06   494: -3.08822e-06   644: -8.78797e-21   682: -1.09055e-20\n",
      "Row 487:   54: -0.000225937   72: -0.000930911   74: -0.000930911   85: -0.000239519   393: 3.76562e-05   394: 5.37945e-06   395: 3.76562e-05   396: 5.37945e-06   487: 0.000155152   488: -1.69407e-20   491: 3.99198e-05   492: -5.70283e-06   499: 3.99198e-05   500: -5.70283e-06   646: -2.15178e-05   674: -2.28113e-05\n",
      "Row 488:   54: 1.17314e-19   72: 0.000155152   74: -0.000155152   85: -5.0822e-21   393: -5.37945e-06   394: -2.68973e-06   395: 5.37945e-06   396: 2.68973e-06   487: -1.69407e-20   488: 1.66234e-05   491: -5.70283e-06   492: 2.85141e-06   499: 5.70283e-06   500: -2.85141e-06   646: 9.1056e-21   674: -9.52912e-22\n",
      "Row 489:   72: -0.00110678   73: -0.000259411   79: -0.00110678   85: -0.000293978   485: 4.32351e-05   486: -6.17644e-06   489: 0.000184463   490: 2.37169e-20   491: 4.89964e-05   492: -6.99948e-06   493: 4.32351e-05   494: 6.17644e-06   519: 4.89964e-05   520: -6.99948e-06   682: -2.47058e-05   683: -2.79979e-05\n",
      "Row 490:   72: 0.000184463   73: -6.77626e-21   79: -0.000184463   85: -1.60936e-19   485: -6.17644e-06   486: 3.08822e-06   489: 2.37169e-20   490: 1.97639e-05   491: -6.99948e-06   492: 3.49974e-06   493: 6.17644e-06   494: 3.08822e-06   519: 6.99948e-06   520: -3.49974e-06   682: -1.37643e-21   683: -1.2282e-20\n",
      "Row 491:   72: -0.00106699   74: -0.000239519   79: -0.000293978   85: -0.00106699   487: 3.99198e-05   488: -5.70283e-06   489: 4.89964e-05   490: -6.99948e-06   491: 0.000177832   492: 1.94818e-20   499: 3.99198e-05   500: 5.70283e-06   519: 4.89964e-05   520: 6.99948e-06   674: -2.28113e-05   683: -2.79979e-05\n",
      "Row 492:   72: 0.000177832   74: -1.30443e-19   79: -6.77626e-21   85: -0.000177832   487: -5.70283e-06   488: 2.85141e-06   489: -6.99948e-06   490: 3.49974e-06   491: 1.94818e-20   492: 1.90535e-05   499: 5.70283e-06   500: 2.85141e-06   519: 6.99948e-06   520: 3.49974e-06   674: -1.00585e-20   683: -1.05879e-21\n",
      "Row 493:   70: -0.000262974   72: -0.000259411   73: -0.00104477   79: -0.00104477   479: 4.3829e-05   480: 6.26129e-06   481: 4.3829e-05   482: 6.26129e-06   485: 4.32351e-05   486: 6.17644e-06   489: 4.32351e-05   490: 6.17644e-06   493: 0.000174128   494: -1.69407e-21   677: -2.50451e-05   682: -2.47058e-05\n",
      "Row 494:   70: -1.35525e-19   72: 1.33408e-19   73: 0.000174128   79: -0.000174128   479: -6.26129e-06   480: -3.13064e-06   481: 6.26129e-06   482: 3.13064e-06   485: -6.17644e-06   486: -3.08822e-06   489: 6.17644e-06   490: 3.08822e-06   493: -1.69407e-21   494: 1.86566e-05   677: -1.03762e-20   682: 9.95264e-21\n",
      "Row 495:   55: -0.000189686   74: -0.000775357   75: -0.000775357   84: -0.000197992   399: 3.16143e-05   400: 4.51633e-06   401: 3.16143e-05   402: 4.51633e-06   495: 0.000129226   496: -1.52466e-20   497: 3.29987e-05   498: -4.7141e-06   501: 3.29987e-05   502: -4.7141e-06   648: -1.80653e-05   672: -1.88564e-05\n",
      "Row 496:   55: 9.78323e-20   74: 0.000129226   75: -0.000129226   84: -6.77626e-21   399: -4.51633e-06   400: -2.25817e-06   401: 4.51633e-06   402: 2.25817e-06   495: -1.52466e-20   496: 1.38457e-05   497: -4.7141e-06   498: 2.35705e-06   501: 4.7141e-06   502: -2.35705e-06   648: 7.41154e-21   672: -9.52912e-22\n",
      "Row 497:   74: -0.000873984   75: -0.000197992   84: -0.000873984   85: -0.000239   495: 3.29987e-05   496: -4.7141e-06   497: 0.000145664   498: 1.48231e-20   499: 3.98333e-05   500: -5.69048e-06   501: 3.29987e-05   502: 4.7141e-06   543: 3.98333e-05   544: -5.69048e-06   672: -1.88564e-05   681: -2.27619e-05\n",
      "Row 498:   74: 0.000145664   75: -1.06726e-19   84: -0.000145664   85: -6.77626e-21   495: -4.7141e-06   496: 2.35705e-06   497: 1.48231e-20   498: 1.56069e-05   499: -5.69048e-06   500: 2.84524e-06   501: 4.7141e-06   502: 2.35705e-06   543: 5.69048e-06   544: -2.84524e-06   672: -8.15269e-21   681: -8.47033e-22\n",
      "Row 499:   72: -0.000239519   74: -0.000957038   84: -0.000239   85: -0.000957038   487: 3.99198e-05   488: 5.70283e-06   491: 3.99198e-05   492: 5.70283e-06   497: 3.98333e-05   498: -5.69048e-06   499: 0.000159506   500: 3.7693e-20   543: 3.98333e-05   544: 5.69048e-06   674: -2.28113e-05   681: -2.27619e-05\n",
      "Row 500:   72: -1.23667e-19   74: 0.000159506   84: -1.32137e-19   85: -0.000159506   487: -5.70283e-06   488: -2.85141e-06   491: 5.70283e-06   492: 2.85141e-06   497: -5.69048e-06   498: 2.84524e-06   499: 3.7693e-20   500: 1.709e-05   543: 5.69048e-06   544: 2.84524e-06   674: -9.1056e-21   681: -1.01644e-20\n",
      "Row 501:   58: -0.00019862   74: -0.000197992   75: -0.000793224   84: -0.000793224   415: 3.31033e-05   416: 4.72905e-06   417: 3.31033e-05   418: 4.72905e-06   495: 3.29987e-05   496: 4.7141e-06   497: 3.29987e-05   498: 4.7141e-06   501: 0.000132204   502: 4.23516e-22   669: -1.89162e-05   672: -1.88564e-05\n",
      "Row 502:   58: 1.00797e-19   74: -1.00797e-19   75: 0.000132204   84: -0.000132204   415: -4.72905e-06   416: -2.36452e-06   417: 4.72905e-06   418: 2.36452e-06   495: -4.7141e-06   496: -2.35705e-06   497: 4.7141e-06   498: 2.35705e-06   501: 4.23516e-22   502: 1.41647e-05   669: 7.83505e-21   672: -7.41154e-21\n",
      "Row 503:   57: -0.000270255   76: -0.00117662   83: -0.00117662   86: -0.000318053   409: 4.50424e-05   410: 6.43463e-06   411: 4.50424e-05   412: 6.43463e-06   503: 0.000196103   504: 4.53163e-20   505: 5.30088e-05   506: -7.57269e-06   539: 5.30088e-05   540: -7.57269e-06   667: -2.57385e-05   676: -3.02908e-05\n",
      "Row 504:   57: -1.39337e-19   76: 0.000196103   83: -0.000196103   86: -1.74489e-19   409: -6.43463e-06   410: -3.21732e-06   411: 6.43463e-06   412: 3.21732e-06   503: 4.53163e-20   504: 2.1011e-05   505: -7.57269e-06   506: 3.78635e-06   539: 7.57269e-06   540: -3.78635e-06   667: -1.07997e-20   676: -1.3976e-20\n",
      "Row 505:   59: -0.000302992   76: -0.00124209   83: -0.000318053   86: -0.00124209   421: 5.04986e-05   422: 7.21408e-06   425: 5.04986e-05   426: 7.21408e-06   503: 5.30088e-05   504: -7.57269e-06   505: 0.000207015   506: -2.5411e-20   539: 5.30088e-05   540: 7.57269e-06   675: -2.88563e-05   676: -3.02908e-05\n",
      "Row 506:   59: 1.55007e-19   76: 0.000207015   83: -3.38813e-21   86: -0.000207015   421: -7.21408e-06   422: -3.60704e-06   425: 7.21408e-06   426: 3.60704e-06   503: -7.57269e-06   504: 3.78635e-06   505: -2.5411e-20   506: 2.21802e-05   539: 7.57269e-06   540: 3.78635e-06   675: 1.20702e-20   676: -1.90582e-21\n",
      "Row 507:   62: -0.00026534   77: -0.00120251   78: -0.00120251   86: -0.000335914   439: 4.42234e-05   440: 6.31763e-06   441: 4.42234e-05   442: 6.31763e-06   507: 0.000200418   508: -1.94818e-20   509: 5.59857e-05   510: -7.99795e-06   513: 5.59857e-05   514: -7.99795e-06   684: -2.52705e-05   685: -3.19918e-05\n",
      "Row 508:   62: 1.38913e-19   77: 0.000200418   78: -0.000200418   86: -6.77626e-21   439: -6.31763e-06   440: -3.15881e-06   441: 6.31763e-06   442: 3.15881e-06   507: -1.94818e-20   508: 2.14734e-05   509: -7.99795e-06   510: 3.99898e-06   513: 7.99795e-06   514: -3.99898e-06   684: 1.01644e-20   685: -1.90582e-21\n",
      "Row 509:   59: -0.000327056   77: -0.00132594   78: -0.000335914   86: -0.00132594   423: 5.45094e-05   424: 7.78705e-06   425: 5.45094e-05   426: 7.78705e-06   507: 5.59857e-05   508: -7.99795e-06   509: 0.00022099   510: 5.0822e-20   513: 5.59857e-05   514: 7.99795e-06   679: -3.11482e-05   685: -3.19918e-05\n",
      "Row 510:   59: -1.69407e-19   77: 0.00022099   78: -1.79571e-19   86: -0.00022099   423: -7.78705e-06   424: -3.89353e-06   425: 7.78705e-06   426: 3.89353e-06   507: -7.99795e-06   508: 3.99898e-06   509: 5.0822e-20   510: 2.36775e-05   513: 7.99795e-06   514: 3.99898e-06   679: -1.3129e-20   685: -1.46113e-20\n",
      "Row 511:   64: -0.000251334   78: -0.00102929   82: -0.00102929   88: -0.00026331   447: 4.18889e-05   448: 5.98413e-06   449: 4.18889e-05   450: 5.98413e-06   511: 0.000171548   512: -1.90582e-20   515: 4.3885e-05   516: -6.26929e-06   533: 4.3885e-05   534: -6.26929e-06   666: -2.39365e-05   694: -2.50771e-05\n",
      "Row 512:   64: 1.29596e-19   78: 0.000171548   82: -0.000171548   88: -5.0822e-21   447: -5.98413e-06   448: -2.99207e-06   449: 5.98413e-06   450: 2.99207e-06   511: -1.90582e-20   512: 1.83801e-05   515: -6.26929e-06   516: 3.13464e-06   533: 6.26929e-06   534: -3.13464e-06   666: 1.00585e-20   694: -1.05879e-21\n",
      "Row 513:   77: -0.000335914   78: -0.00129422   86: -0.00129422   88: -0.000311195   507: 5.59857e-05   508: 7.99795e-06   509: 5.59857e-05   510: 7.99795e-06   513: 0.000215703   514: 4.82809e-20   515: 5.18658e-05   516: -7.4094e-06   549: 5.18658e-05   550: -7.4094e-06   685: -3.19918e-05   688: -2.96376e-05\n",
      "Row 514:   77: -1.69407e-19   78: 0.000215703   86: -0.000215703   88: -1.67713e-19   507: -7.99795e-06   508: -3.99898e-06   509: 7.99795e-06   510: 3.99898e-06   513: 4.82809e-20   514: 2.3111e-05   515: -7.4094e-06   516: 3.7047e-06   549: 7.4094e-06   550: -3.7047e-06   685: -1.3129e-20   688: -1.37643e-20\n",
      "Row 515:   78: -0.00114901   82: -0.00026331   86: -0.000311195   88: -0.00114901   511: 4.3885e-05   512: -6.26929e-06   513: 5.18658e-05   514: -7.4094e-06   515: 0.000191502   516: 1.94818e-20   533: 4.3885e-05   534: 6.26929e-06   549: 5.18658e-05   550: 7.4094e-06   688: -2.96376e-05   694: -2.50771e-05\n",
      "Row 516:   78: 0.000191502   82: -1.43996e-19   86: -6.77626e-21   88: -0.000191502   511: -6.26929e-06   512: 3.13464e-06   513: -7.4094e-06   514: 3.7047e-06   515: 1.94818e-20   516: 2.0518e-05   533: 6.26929e-06   534: 3.13464e-06   549: 7.4094e-06   550: 3.7047e-06   688: -1.90582e-21   694: -1.11173e-20\n",
      "Row 517:   69: -0.000281956   79: -0.00117704   80: -0.00117704   87: -0.000306563   473: 4.69926e-05   474: 6.71323e-06   475: 4.69926e-05   476: 6.71323e-06   517: 0.000196173   518: 4.15046e-20   521: 5.10938e-05   522: -7.29912e-06   525: 5.10938e-05   526: -7.29912e-06   662: -2.68529e-05   686: -2.91965e-05\n",
      "Row 518:   69: -1.44419e-19   79: 0.000196173   80: -0.000196173   87: -1.64324e-19   473: -6.71323e-06   474: -3.35662e-06   475: 6.71323e-06   476: 3.35662e-06   517: 4.15046e-20   518: 2.10185e-05   521: -7.29912e-06   522: 3.64956e-06   525: 7.29912e-06   526: -3.64956e-06   662: -1.14349e-20   686: -1.33408e-20\n",
      "Row 519:   72: -0.000293978   79: -0.00121677   85: -0.00121677   87: -0.000314408   489: 4.89964e-05   490: 6.99948e-06   491: 4.89964e-05   492: 6.99948e-06   519: 0.000202795   520: -2.5411e-20   521: 5.24013e-05   522: -7.48591e-06   545: 5.24013e-05   546: -7.48591e-06   683: -2.79979e-05   687: -2.99436e-05\n",
      "Row 520:   72: 1.52466e-19   79: 0.000202795   85: -0.000202795   87: -1.01644e-20   489: -6.99948e-06   490: -3.49974e-06   491: 6.99948e-06   492: 3.49974e-06   519: -2.5411e-20   520: 2.17281e-05   521: -7.48591e-06   522: 3.74295e-06   545: 7.48591e-06   546: -3.74295e-06   683: 1.12232e-20   687: -1.48231e-21\n",
      "Row 521:   79: -0.00124194   80: -0.000306563   85: -0.000314408   87: -0.00124194   517: 5.10938e-05   518: -7.29912e-06   519: 5.24013e-05   520: -7.48591e-06   521: 0.00020699   522: 2.28699e-20   525: 5.10938e-05   526: 7.29912e-06   545: 5.24013e-05   546: 7.48591e-06   686: -2.91965e-05   687: -2.99436e-05\n",
      "Row 522:   79: 0.00020699   80: -1.01644e-20   85: -1.71101e-19   87: -0.00020699   517: -7.29912e-06   518: 3.64956e-06   519: -7.48591e-06   520: 3.74295e-06   521: 2.28699e-20   522: 2.21775e-05   525: 7.29912e-06   526: 3.64956e-06   545: 7.48591e-06   546: 3.74295e-06   686: -1.90582e-21   687: -1.33408e-20\n",
      "Row 523:   67: -0.000212463   80: -0.000874786   81: -0.000874786   88: -0.000224931   463: 3.54104e-05   464: 5.05863e-06   465: 3.54104e-05   466: 5.05863e-06   523: 0.000145798   524: 3.21873e-20   527: 3.74884e-05   528: -5.35549e-06   531: 3.74884e-05   532: -5.35549e-06   664: -2.02345e-05   695: -2.1422e-05\n",
      "Row 524:   67: -1.09691e-19   80: 0.000145798   81: -0.000145798   88: -1.21973e-19   463: -5.05863e-06   464: -2.52932e-06   465: 5.05863e-06   466: 2.52932e-06   523: 3.21873e-20   524: 1.56212e-05   527: -5.35549e-06   528: 2.67774e-06   531: 5.35549e-06   532: -2.67774e-06   664: -8.15269e-21   695: -9.84676e-21\n",
      "Row 525:   79: -0.000306563   80: -0.00114863   87: -0.00114863   88: -0.00026775   517: 5.10938e-05   518: 7.29912e-06   521: 5.10938e-05   522: 7.29912e-06   525: 0.000191438   526: -2.03288e-20   527: 4.4625e-05   528: -6.37499e-06   551: 4.4625e-05   552: -6.37499e-06   686: -2.91965e-05   689: -2.55e-05\n",
      "Row 526:   79: 1.5416e-19   80: 0.000191438   87: -0.000191438   88: -5.0822e-21   517: -7.29912e-06   518: -3.64956e-06   521: 7.29912e-06   522: 3.64956e-06   525: -2.03288e-20   526: 2.05112e-05   527: -6.37499e-06   528: 3.1875e-06   551: 6.37499e-06   552: -3.1875e-06   686: 1.18585e-20   689: -1.37643e-21\n",
      "Row 527:   80: -0.00098536   81: -0.000224931   87: -0.00026775   88: -0.00098536   523: 3.74884e-05   524: -5.35549e-06   525: 4.4625e-05   526: -6.37499e-06   527: 0.000164227   528: 1.99053e-20   531: 3.74884e-05   532: 5.35549e-06   551: 4.4625e-05   552: 6.37499e-06   689: -2.55e-05   695: -2.1422e-05\n",
      "Row 528:   80: 0.000164227   81: -6.77626e-21   87: -1.47384e-19   88: -0.000164227   523: -5.35549e-06   524: 2.67774e-06   525: -6.37499e-06   526: 3.1875e-06   527: 1.99053e-20   528: 1.75957e-05   531: 5.35549e-06   532: 2.67774e-06   551: 6.37499e-06   552: 3.1875e-06   689: -1.17526e-20   695: -1.16467e-21\n",
      "Row 529:   68: -0.000233154   81: -0.000898627   82: -0.000898627   88: -0.000216159   467: 3.8859e-05   468: 5.55129e-06   469: 3.8859e-05   470: 5.55129e-06   529: 0.000149771   530: 3.43048e-20   531: 3.60265e-05   532: -5.14665e-06   533: 3.60265e-05   534: -5.14665e-06   680: -2.22051e-05   691: -2.05866e-05\n",
      "Row 530:   68: -1.18585e-19   81: 0.000149771   82: -0.000149771   88: -1.15196e-19   467: -5.55129e-06   468: -2.77564e-06   469: 5.55129e-06   470: 2.77564e-06   529: 3.43048e-20   530: 1.60469e-05   531: -5.14665e-06   532: 2.57332e-06   533: 5.14665e-06   534: -2.57332e-06   680: -8.99973e-21   691: -9.31736e-21\n",
      "Row 531:   80: -0.000224931   81: -0.00088218   82: -0.000216159   88: -0.00088218   523: 3.74884e-05   524: 5.35549e-06   527: 3.74884e-05   528: 5.35549e-06   529: 3.60265e-05   530: -5.14665e-06   531: 0.00014703   532: -1.56701e-20   533: 3.60265e-05   534: 5.14665e-06   691: -2.05866e-05   695: -2.1422e-05\n",
      "Row 532:   80: 1.14349e-19   81: 0.00014703   82: -3.38813e-21   88: -0.00014703   523: -5.35549e-06   524: -2.67774e-06   527: 5.35549e-06   528: 2.67774e-06   529: -5.14665e-06   530: 2.57332e-06   531: -1.56701e-20   532: 1.57532e-05   533: 5.14665e-06   534: 2.57332e-06   691: -1.16467e-21   695: 8.99973e-21\n",
      "Row 533:   78: -0.00026331   81: -0.000216159   82: -0.000958939   88: -0.000958939   511: 4.3885e-05   512: 6.26929e-06   515: 4.3885e-05   516: 6.26929e-06   529: 3.60265e-05   530: 5.14665e-06   531: 3.60265e-05   532: 5.14665e-06   533: 0.000159823   534: 2.96462e-21   691: -2.05866e-05   694: -2.50771e-05\n",
      "Row 534:   78: -1.35525e-19   81: 1.10961e-19   82: 0.000159823   88: -0.000159823   511: -6.26929e-06   512: -3.13464e-06   515: 6.26929e-06   516: 3.13464e-06   529: -5.14665e-06   530: -2.57332e-06   531: 5.14665e-06   532: 2.57332e-06   533: 2.96462e-21   534: 1.71239e-05   691: 8.47033e-21   694: -1.01644e-20\n",
      "Row 535:   57: -0.000250684   83: -0.0010251   84: -0.0010251   85: -0.000261865   411: 4.17806e-05   412: 5.96866e-06   413: 4.17806e-05   414: 5.96866e-06   535: 0.00017085   536: 3.98105e-20   537: 4.36442e-05   538: -6.23489e-06   543: 4.36442e-05   544: -6.23489e-06   670: -2.38746e-05   690: -2.49396e-05\n",
      "Row 536:   57: -1.27902e-19   83: 0.00017085   84: -0.00017085   85: -1.42302e-19   411: -5.96866e-06   412: -2.98433e-06   413: 5.96866e-06   414: 2.98433e-06   535: 3.98105e-20   536: 1.83053e-05   537: -6.23489e-06   538: 3.11745e-06   543: 6.23489e-06   544: -3.11745e-06   670: -9.52912e-21   690: -1.09055e-20\n",
      "Row 537:   83: -0.001079   84: -0.000261865   85: -0.001079   87: -0.000277634   535: 4.36442e-05   536: -6.23489e-06   537: 0.000179833   538: 2.41404e-20   541: 4.62724e-05   542: -6.61034e-06   543: 4.36442e-05   544: 6.23489e-06   545: 4.62724e-05   546: -6.61034e-06   690: -2.49396e-05   693: -2.64414e-05\n",
      "Row 538:   83: 0.000179833   84: -6.77626e-21   85: -0.000179833   87: -1.52466e-19   535: -6.23489e-06   536: 3.11745e-06   537: 2.41404e-20   538: 1.92679e-05   541: -6.61034e-06   542: 3.30517e-06   543: 6.23489e-06   544: 3.11745e-06   545: 6.61034e-06   546: -3.30517e-06   690: -1.27055e-21   693: -1.2282e-20\n",
      "Row 539:   76: -0.000318053   83: -0.00130217   86: -0.00130217   87: -0.00033303   503: 5.30088e-05   504: 7.57269e-06   505: 5.30088e-05   506: 7.57269e-06   539: 0.000217028   540: -2.28699e-20   541: 5.5505e-05   542: -7.92929e-06   547: 5.5505e-05   548: -7.92929e-06   676: -3.02908e-05   692: -3.17172e-05\n",
      "Row 540:   76: 1.63477e-19   83: 0.000217028   86: -0.000217028   87: -6.77626e-21   503: -7.57269e-06   504: -3.78635e-06   505: 7.57269e-06   506: 3.78635e-06   539: -2.28699e-20   540: 2.3253e-05   541: -7.92929e-06   542: 3.96464e-06   547: 7.92929e-06   548: -3.96464e-06   676: 1.3129e-20   692: -1.27055e-21\n",
      "Row 541:   83: -0.00122133   85: -0.000277634   86: -0.00033303   87: -0.00122133   537: 4.62724e-05   538: -6.61034e-06   539: 5.5505e-05   540: -7.92929e-06   541: 0.000203555   542: 2.5411e-20   545: 4.62724e-05   546: 6.61034e-06   547: 5.5505e-05   548: 7.92929e-06   692: -3.17172e-05   693: -2.64414e-05\n",
      "Row 542:   83: 0.000203555   85: -6.77626e-21   86: -1.79571e-19   87: -0.000203555   537: -6.61034e-06   538: 3.30517e-06   539: -7.92929e-06   540: 3.96464e-06   541: 2.5411e-20   542: 2.18094e-05   545: 6.61034e-06   546: 3.30517e-06   547: 7.92929e-06   548: 3.96464e-06   692: -1.41878e-20   693: -1.48231e-21\n",
      "Row 543:   74: -0.000239   83: -0.000261865   84: -0.00100173   85: -0.00100173   497: 3.98333e-05   498: 5.69048e-06   499: 3.98333e-05   500: 5.69048e-06   535: 4.36442e-05   536: 6.23489e-06   537: 4.36442e-05   538: 6.23489e-06   543: 0.000166955   544: -2.11758e-21   681: -2.27619e-05   690: -2.49396e-05\n",
      "Row 544:   74: -1.2282e-19   83: 1.32984e-19   84: 0.000166955   85: -0.000166955   497: -5.69048e-06   498: -2.84524e-06   499: 5.69048e-06   500: 2.84524e-06   535: -6.23489e-06   536: -3.11745e-06   537: 6.23489e-06   538: 3.11745e-06   543: -2.11758e-21   544: 1.78881e-05   681: -9.42324e-21   690: 9.95264e-21\n",
      "Row 545:   79: -0.000314408   83: -0.000277634   85: -0.00118408   87: -0.00118408   519: 5.24013e-05   520: 7.48591e-06   521: 5.24013e-05   522: 7.48591e-06   537: 4.62724e-05   538: 6.61034e-06   541: 4.62724e-05   542: 6.61034e-06   545: 0.000197347   546: -8.47033e-22   687: -2.99436e-05   693: -2.64414e-05\n",
      "Row 546:   79: -1.59242e-19   83: 1.43572e-19   85: 0.000197347   87: -0.000197347   519: -7.48591e-06   520: -3.74295e-06   521: 7.48591e-06   522: 3.74295e-06   537: -6.61034e-06   538: -3.30517e-06   541: 6.61034e-06   542: 3.30517e-06   545: -8.47033e-22   546: 2.11444e-05   687: -1.20702e-20   693: 1.12232e-20\n",
      "Row 547:   83: -0.00033303   86: -0.00131587   87: -0.00131587   88: -0.000324904   539: 5.5505e-05   540: 7.92929e-06   541: 5.5505e-05   542: 7.92929e-06   547: 0.000219312   548: 5.1669e-20   549: 5.41507e-05   550: -7.73582e-06   551: 5.41507e-05   552: -7.73582e-06   692: -3.17172e-05   696: -3.09433e-05\n",
      "Row 548:   83: -1.69407e-19   86: 0.000219312   87: -0.000219312   88: -1.74489e-19   539: -7.92929e-06   540: -3.96464e-06   541: 7.92929e-06   542: 3.96464e-06   547: 5.1669e-20   548: 2.34977e-05   549: -7.73582e-06   550: 3.86791e-06   551: 7.73582e-06   552: -3.86791e-06   692: -1.29173e-20   696: -1.41878e-20\n",
      "Row 549:   78: -0.000311195   86: -0.0012722   87: -0.000324904   88: -0.0012722   513: 5.18658e-05   514: 7.4094e-06   515: 5.18658e-05   516: 7.4094e-06   547: 5.41507e-05   548: -7.73582e-06   549: 0.000212033   550: -2.5411e-20   551: 5.41507e-05   552: 7.73582e-06   688: -2.96376e-05   696: -3.09433e-05\n",
      "Row 550:   78: 1.59242e-19   86: 0.000212033   87: -1.01644e-20   88: -0.000212033   513: -7.4094e-06   514: -3.7047e-06   515: 7.4094e-06   516: 3.7047e-06   547: -7.73582e-06   548: 3.86791e-06   549: -2.5411e-20   550: 2.27178e-05   551: 7.73582e-06   552: 3.86791e-06   688: 1.18585e-20   696: -1.69407e-21\n",
      "Row 551:   80: -0.00026775   86: -0.000324904   87: -0.00118531   88: -0.00118531   525: 4.4625e-05   526: 6.37499e-06   527: 4.4625e-05   528: 6.37499e-06   547: 5.41507e-05   548: 7.73582e-06   549: 5.41507e-05   550: 7.73582e-06   551: 0.000197551   552: -6.35275e-21   689: -2.55e-05   696: -3.09433e-05\n",
      "Row 552:   80: -1.37219e-19   86: 1.64324e-19   87: 0.000197551   88: -0.000197551   525: -6.37499e-06   526: -3.1875e-06   527: 6.37499e-06   528: 3.1875e-06   547: -7.73582e-06   548: -3.86791e-06   549: 7.73582e-06   550: 3.86791e-06   551: -6.35275e-21   552: 2.11662e-05   689: -1.07997e-20   696: 1.29173e-20\n",
      "Row 553:   0: 0.000173611   4: 0.000173611   31: 0.000173611   89: -2.48016e-05   90: -1.05879e-21   91: -2.48016e-05   92: -1.10114e-20   111: -2.48016e-05   112: -1.03762e-20   553: 1.24008e-05\n",
      "Row 554:   4: 0.000171506   5: 0.000171506   32: 0.000171506   109: -2.45008e-05   110: -1.05879e-21   113: -2.45008e-05   114: -1.07997e-20   117: -2.45008e-05   118: -9.74088e-21   554: 1.22504e-05\n",
      "Row 555:   5: 0.000165724   6: 0.000165724   33: 0.000165724   115: -2.36749e-05   116: -1.27055e-21   119: -2.36749e-05   120: -1.05879e-20   123: -2.36749e-05   124: -9.74088e-21   555: 1.18374e-05\n",
      "Row 556:   5: 0.000182397   32: 0.000182397   33: 0.000182397   117: -2.60566e-05   118: -1.19643e-20   119: -2.60566e-05   120: -1.27055e-21   267: -2.60566e-05   268: 1.10114e-20   556: 1.30283e-05\n",
      "Row 557:   6: 0.000166238   7: 0.000166238   34: 0.000166238   121: -2.37483e-05   122: -8.47033e-22   125: -2.37483e-05   126: -1.06938e-20   129: -2.37483e-05   130: -1.00585e-20   557: 1.18742e-05\n",
      "Row 558:   6: 0.000168869   33: 0.000168869   34: 0.000168869   123: -2.41241e-05   124: -1.11173e-20   125: -2.41241e-05   126: -1.16467e-21   273: -2.41241e-05   274: 1.02703e-20   558: 1.2062e-05\n",
      "Row 559:   7: 0.000159845   8: 0.000159845   35: 0.000159845   127: -2.2835e-05   128: -1.05879e-21   131: -2.2835e-05   132: -1.00585e-20   135: -2.2835e-05   136: -9.42324e-21   559: 1.14175e-05\n",
      "Row 560:   7: 0.000158816   34: 0.000158816   35: 0.000158816   129: -2.2688e-05   130: -1.03762e-20   131: -2.2688e-05   132: -1.37643e-21   279: -2.2688e-05   280: 9.31736e-21   560: 1.1344e-05\n",
      "Row 561:   8: 0.000141037   9: 0.000141037   36: 0.000141037   133: -2.01481e-05   134: -1.05879e-21   137: -2.01481e-05   138: -9.21148e-21   141: -2.01481e-05   142: -8.25857e-21   561: 1.00741e-05\n",
      "Row 562:   8: 0.000137994   35: 0.000137994   36: 0.000137994   135: -1.97134e-05   136: -9.1056e-21   137: -1.97134e-05   138: -1.27055e-21   285: -1.97134e-05   286: 8.04681e-21   562: 9.8567e-06\n",
      "Row 563:   9: 0.000136287   10: 0.000136287   37: 0.000136287   139: -1.94696e-05   140: -8.47033e-22   143: -1.94696e-05   144: -8.99973e-21   145: -1.94696e-05   146: -7.94093e-21   563: 9.73479e-06\n",
      "Row 564:   9: 0.00012821   36: 0.00012821   37: 0.00012821   141: -1.83157e-05   142: -8.25857e-21   143: -1.83157e-05   144: -8.47033e-22   291: -1.83157e-05   292: 7.6233e-21   564: 9.15787e-06\n",
      "Row 565:   1: 0.00014901   10: 0.00014901   38: 0.00014901   93: -2.12871e-05   94: -9.42324e-21   97: -2.12871e-05   98: -9.52912e-22   147: -2.12871e-05   148: 8.89385e-21   565: 1.06435e-05\n",
      "Row 566:   10: 0.000129159   37: 0.000129159   38: 0.000129159   145: -1.84513e-05   146: -8.25857e-21   147: -1.84513e-05   148: -1.05879e-21   297: -1.84513e-05   298: 7.41154e-21   566: 9.22565e-06\n",
      "Row 567:   1: 0.000144657   11: 0.000144657   38: 0.000144657   95: -2.06653e-05   96: -9.52912e-22   97: -2.06653e-05   98: -9.31736e-21   151: -2.06653e-05   152: -8.25857e-21   567: 1.03327e-05\n",
      "Row 568:   11: 0.000127702   12: 0.000127702   39: 0.000127702   149: -1.82431e-05   150: -6.35275e-22   153: -1.82431e-05   154: -8.04681e-21   157: -1.82431e-05   158: -7.72918e-21   568: 9.12155e-06\n",
      "Row 569:   11: 0.000127841   38: 0.000127841   39: 0.000127841   151: -1.8263e-05   152: -8.36445e-21   153: -1.8263e-05   154: -9.52912e-22   303: -1.8263e-05   304: 7.72918e-21   569: 9.1315e-06\n",
      "Row 570:   12: 0.000126931   13: 0.000126931   40: 0.000126931   155: -1.8133e-05   156: -9.52912e-22   159: -1.8133e-05   160: -8.36445e-21   163: -1.8133e-05   164: -7.41154e-21   570: 9.06651e-06\n",
      "Row 571:   12: 0.000120281   39: 0.000120281   40: 0.000120281   157: -1.71829e-05   158: -7.72918e-21   159: -1.71829e-05   160: -1.05879e-21   307: -1.71829e-05   308: 7.0939e-21   571: 8.59147e-06\n",
      "Row 572:   13: 0.000141423   14: 0.000141423   41: 0.000141423   161: -2.02033e-05   162: -1.16467e-21   165: -2.02033e-05   166: -8.89385e-21   169: -2.02033e-05   170: -8.25857e-21   572: 1.01017e-05\n",
      "Row 573:   13: 0.000124826   40: 0.000124826   41: 0.000124826   163: -1.78323e-05   164: -8.25857e-21   165: -1.78323e-05   166: -1.16467e-21   313: -1.78323e-05   314: 7.41154e-21   573: 8.91614e-06\n",
      "Row 574:   14: 0.000148788   15: 0.000148788   42: 0.000148788   167: -2.12554e-05   168: -1.05879e-21   171: -2.12554e-05   172: -9.42324e-21   175: -2.12554e-05   176: -8.57621e-21   574: 1.06277e-05\n",
      "Row 575:   14: 0.00014291   41: 0.00014291   42: 0.00014291   169: -2.04157e-05   170: -9.21148e-21   171: -2.04157e-05   172: -1.05879e-21   319: -2.04157e-05   320: 8.36445e-21   575: 1.02078e-05\n",
      "Row 576:   15: 0.000149632   16: 0.000149632   43: 0.000149632   173: -2.1376e-05   174: -1.05879e-21   177: -2.1376e-05   178: -9.74088e-21   181: -2.1376e-05   182: -8.78797e-21   576: 1.0688e-05\n",
      "Row 577:   15: 0.000150903   42: 0.000150903   43: 0.000150903   175: -2.15576e-05   176: -9.95264e-21   177: -2.15576e-05   178: -1.37643e-21   325: -2.15576e-05   326: 8.99973e-21   577: 1.07788e-05\n",
      "Row 578:   16: 0.000143616   17: 0.000143616   44: 0.000143616   179: -2.05166e-05   180: -1.05879e-21   183: -2.05166e-05   184: -9.21148e-21   187: -2.05166e-05   188: -8.25857e-21   578: 1.02583e-05\n",
      "Row 579:   16: 0.000151503   43: 0.000151503   44: 0.000151503   181: -2.16433e-05   182: -9.74088e-21   183: -2.16433e-05   184: -9.52912e-22   331: -2.16433e-05   332: 8.89385e-21   579: 1.08217e-05\n",
      "Row 580:   2: 0.000173611   17: 0.000173611   18: 0.000173611   99: -2.48016e-05   100: -1.12232e-20   101: -2.48016e-05   102: -1.27055e-21   185: -2.48016e-05   186: 1.01644e-20   580: 1.24008e-05\n",
      "Row 581:   18: 0.000135978   19: 0.000135978   45: 0.000135978   189: -1.94254e-05   190: -1.05879e-21   193: -1.94254e-05   194: -8.78797e-21   197: -1.94254e-05   198: -8.04681e-21   581: 9.71269e-06\n",
      "Row 582:   19: 0.000158311   20: 0.000158311   46: 0.000158311   195: -2.26159e-05   196: -1.16467e-21   199: -2.26159e-05   200: -1.05879e-20   203: -2.26159e-05   204: -9.42324e-21   582: 1.1308e-05\n",
      "Row 583:   19: 0.000126129   45: 0.000126129   46: 0.000126129   197: -1.80184e-05   198: -8.36445e-21   199: -1.80184e-05   200: -9.52912e-22   341: -1.80184e-05   342: 7.6233e-21   583: 9.00918e-06\n",
      "Row 584:   20: 0.00016412   21: 0.00016412   47: 0.00016412   201: -2.34457e-05   202: -1.16467e-21   205: -2.34457e-05   206: -1.02703e-20   209: -2.34457e-05   210: -9.21148e-21   584: 1.17229e-05\n",
      "Row 585:   20: 0.000155619   46: 0.000155619   47: 0.000155619   203: -2.22313e-05   204: -1.01644e-20   205: -2.22313e-05   206: -1.27055e-21   345: -2.22313e-05   346: 9.31736e-21   585: 1.11157e-05\n",
      "Row 586:   21: 0.000159562   22: 0.000159562   48: 0.000159562   207: -2.27946e-05   208: -9.52912e-22   211: -2.27946e-05   212: -1.02703e-20   215: -2.27946e-05   216: -9.31736e-21   586: 1.13973e-05\n",
      "Row 587:   21: 0.000160724   47: 0.000160724   48: 0.000160724   209: -2.29606e-05   210: -1.02703e-20   211: -2.29606e-05   212: -1.05879e-21   351: -2.29606e-05   352: 9.52912e-21   587: 1.14803e-05\n",
      "Row 588:   22: 0.000151119   23: 0.000151119   49: 0.000151119   213: -2.15884e-05   214: -1.16467e-21   217: -2.15884e-05   218: -9.52912e-21   221: -2.15884e-05   222: -8.99973e-21   588: 1.07942e-05\n",
      "Row 589:   22: 0.000148361   48: 0.000148361   49: 0.000148361   215: -2.11945e-05   216: -9.52912e-21   217: -2.11945e-05   218: -9.52912e-22   357: -2.11945e-05   358: 8.99973e-21   589: 1.05972e-05\n",
      "Row 590:   23: 0.000136256   24: 0.000136256   50: 0.000136256   219: -1.94652e-05   220: -9.52912e-22   223: -1.94652e-05   224: -8.78797e-21   225: -1.94652e-05   226: -7.72918e-21   590: 9.73258e-06\n",
      "Row 591:   23: 0.000130385   49: 0.000130385   50: 0.000130385   221: -1.86264e-05   222: -8.47033e-21   223: -1.86264e-05   224: -1.27055e-21   363: -1.86264e-05   364: 7.72918e-21   591: 9.31321e-06\n",
      "Row 592:   3: 0.000144014   24: 0.000144014   51: 0.000144014   103: -2.05734e-05   104: -9.1056e-21   107: -2.05734e-05   108: -8.47033e-22   227: -2.05734e-05   228: 8.57621e-21   592: 1.02867e-05\n",
      "Row 593:   24: 0.000129048   50: 0.000129048   51: 0.000129048   225: -1.84355e-05   226: -8.36445e-21   227: -1.84355e-05   228: -9.52912e-22   369: -1.84355e-05   370: 7.83505e-21   593: 9.21773e-06\n",
      "Row 594:   3: 0.00014034   25: 0.00014034   51: 0.00014034   105: -2.00485e-05   106: -8.47033e-22   107: -2.00485e-05   108: -8.89385e-21   231: -2.00485e-05   232: -8.25857e-21   594: 1.00243e-05\n",
      "Row 595:   25: 0.000128986   26: 0.000128986   52: 0.000128986   229: -1.84265e-05   230: -8.47033e-22   233: -1.84265e-05   234: -8.47033e-21   237: -1.84265e-05   238: -7.72918e-21   595: 9.21326e-06\n",
      "Row 596:   25: 0.000127953   51: 0.000127953   52: 0.000127953   231: -1.8279e-05   232: -8.36445e-21   233: -1.8279e-05   234: -1.05879e-21   375: -1.8279e-05   376: 7.51742e-21   596: 9.13952e-06\n",
      "Row 597:   26: 0.000141072   27: 0.000141072   53: 0.000141072   235: -2.01531e-05   236: -8.47033e-22   239: -2.01531e-05   240: -9.1056e-21   243: -2.01531e-05   244: -8.36445e-21   597: 1.00766e-05\n",
      "Row 598:   26: 0.000126077   52: 0.000126077   53: 0.000126077   237: -1.8011e-05   238: -8.25857e-21   239: -1.8011e-05   240: -8.47033e-22   379: -1.8011e-05   380: 7.6233e-21   598: 9.00552e-06\n",
      "Row 599:   27: 0.000144979   28: 0.000144979   54: 0.000144979   241: -2.07112e-05   242: -8.47033e-22   245: -2.07112e-05   246: -9.31736e-21   249: -2.07112e-05   250: -8.68209e-21   599: 1.03556e-05\n",
      "Row 600:   27: 0.000140082   53: 0.000140082   54: 0.000140082   243: -2.00118e-05   244: -8.99973e-21   245: -2.00118e-05   246: -1.05879e-21   385: -2.00118e-05   386: 8.25857e-21   600: 1.00059e-05\n",
      "Row 601:   28: 0.000137196   29: 0.000137196   55: 0.000137196   247: -1.95994e-05   248: -6.35275e-22   251: -1.95994e-05   252: -8.99973e-21   255: -1.95994e-05   256: -8.25857e-21   601: 9.7997e-06\n",
      "Row 602:   28: 0.000143741   54: 0.000143741   55: 0.000143741   249: -2.05345e-05   250: -9.52912e-21   251: -2.05345e-05   252: -1.37643e-21   391: -2.05345e-05   392: 8.47033e-21   602: 1.02672e-05\n",
      "Row 603:   29: 0.000147081   30: 0.000147081   56: 0.000147081   253: -2.10115e-05   254: -9.52912e-22   257: -2.10115e-05   258: -9.84676e-21   261: -2.10115e-05   262: -8.68209e-21   603: 1.05058e-05\n",
      "Row 604:   29: 0.000171164   55: 0.000171164   56: 0.000171164   255: -2.44521e-05   256: -1.10114e-20   257: -2.44521e-05   258: -1.16467e-21   397: -2.44521e-05   398: 1.00585e-20   604: 1.2226e-05\n",
      "Row 605:   30: 0.000147081   31: 0.000147081   56: 0.000147081   259: -2.10115e-05   260: -1.16467e-21   261: -2.10115e-05   262: -9.95264e-21   265: -2.10115e-05   266: -8.89385e-21   605: 1.05058e-05\n",
      "Row 606:   4: 0.000231311   31: 0.000231311   32: 0.000231311   111: -3.30444e-05   112: -1.50348e-20   113: -3.30444e-05   114: -2.32934e-21   263: -3.30444e-05   264: 1.33408e-20   606: 1.65222e-05\n",
      "Row 607:   17: 0.000198776   18: 0.000198776   44: 0.000198776   185: -2.83965e-05   186: -1.69407e-21   187: -2.83965e-05   188: -1.27055e-20   191: -2.83965e-05   192: -1.16467e-20   607: 1.41983e-05\n",
      "Row 608:   18: 0.000156345   44: 0.000156345   45: 0.000156345   191: -2.2335e-05   192: -1.01644e-20   193: -2.2335e-05   194: -1.27055e-21   337: -2.2335e-05   338: 9.1056e-21   608: 1.11675e-05\n",
      "Row 609:   31: 0.000251888   32: 0.000251888   56: 0.000251888   263: -3.5984e-05   264: -2.11758e-21   265: -3.5984e-05   266: -1.60936e-20   269: -3.5984e-05   270: -1.48231e-20   609: 1.7992e-05\n",
      "Row 610:   33: 0.000169351   34: 0.000169351   57: 0.000169351   273: -2.4193e-05   274: -1.05879e-21   275: -2.4193e-05   276: -1.10114e-20   281: -2.4193e-05   282: -9.74088e-21   610: 1.20965e-05\n",
      "Row 611:   32: 0.000171312   33: 0.000171312   58: 0.000171312   267: -2.44732e-05   268: -1.05879e-21   271: -2.44732e-05   272: -1.10114e-20   277: -2.44732e-05   278: -9.95264e-21   611: 1.22366e-05\n",
      "Row 612:   33: 0.000165134   57: 0.000165134   58: 0.000165134   275: -2.35905e-05   276: -1.16467e-21   277: -2.35905e-05   278: -1.0482e-20   407: -2.35905e-05   408: -9.52912e-21   612: 1.17953e-05\n",
      "Row 613:   35: 0.000153353   36: 0.000153353   59: 0.000153353   285: -2.19075e-05   286: -1.16467e-21   287: -2.19075e-05   288: -9.84676e-21   293: -2.19075e-05   294: -9.21148e-21   613: 1.09538e-05\n",
      "Row 614:   36: 0.000116412   37: 0.000116412   60: 0.000116412   291: -1.66302e-05   292: -4.23516e-22   295: -1.66302e-05   296: -7.30566e-21   299: -1.66302e-05   300: -6.88214e-21   614: 8.31512e-06\n",
      "Row 615:   36: 0.000119847   59: 0.000119847   60: 0.000119847   293: -1.71211e-05   294: -7.72918e-21   295: -1.71211e-05   296: -6.35275e-22   419: -1.71211e-05   420: 7.0939e-21   615: 8.56053e-06\n",
      "Row 616:   37: 0.000124802   38: 0.000124802   61: 0.000124802   297: -1.78288e-05   298: -7.41154e-22   301: -1.78288e-05   302: -8.15269e-21   305: -1.78288e-05   306: -7.30566e-21   616: 8.91439e-06\n",
      "Row 617:   37: 0.000104433   60: 0.000104433   61: 0.000104433   299: -1.49189e-05   300: -6.77626e-21   301: -1.49189e-05   302: -8.47033e-22   427: -1.49189e-05   428: 6.14099e-21   617: 7.45947e-06\n",
      "Row 618:   38: 0.000121163   39: 0.000121163   61: 0.000121163   303: -1.73091e-05   304: -9.52912e-22   305: -1.73091e-05   306: -7.72918e-21   309: -1.73091e-05   310: -7.0939e-21   618: 8.65453e-06\n",
      "Row 619:   40: 0.000136353   41: 0.000136353   62: 0.000136353   313: -1.9479e-05   314: -7.41154e-22   315: -1.9479e-05   316: -8.68209e-21   321: -1.9479e-05   322: -8.25857e-21   619: 9.7395e-06\n",
      "Row 620:   39: 0.000108569   40: 0.000108569   63: 0.000108569   307: -1.55098e-05   308: -5.29396e-22   311: -1.55098e-05   312: -6.88214e-21   317: -1.55098e-05   318: -6.45863e-21   620: 7.75491e-06\n",
      "Row 621:   39: 0.000102369   61: 0.000102369   63: 0.000102369   309: -1.46241e-05   310: -6.77626e-21   311: -1.46241e-05   312: -8.47033e-22   431: -1.46241e-05   432: 5.92923e-21   621: 7.31205e-06\n",
      "Row 622:   40: 0.00010946   62: 0.00010946   63: 0.00010946   315: -1.56372e-05   316: -7.41154e-22   317: -1.56372e-05   318: -6.67038e-21   435: -1.56372e-05   436: -6.56451e-21   622: 7.8186e-06\n",
      "Row 623:   41: 0.000148396   42: 0.000148396   64: 0.000148396   319: -2.11994e-05   320: -9.52912e-22   323: -2.11994e-05   324: -9.52912e-21   327: -2.11994e-05   328: -8.68209e-21   623: 1.05997e-05\n",
      "Row 624:   41: 0.00014283   62: 0.00014283   64: 0.00014283   321: -2.04043e-05   322: -9.31736e-21   323: -2.04043e-05   324: -1.05879e-21   437: -2.04043e-05   438: 8.36445e-21   624: 1.02021e-05\n",
      "Row 625:   42: 0.000155148   43: 0.000155148   65: 0.000155148   325: -2.2164e-05   326: -1.16467e-21   329: -2.2164e-05   330: -9.74088e-21   333: -2.2164e-05   334: -9.31736e-21   625: 1.1082e-05\n",
      "Row 626:   42: 0.000158123   64: 0.000158123   65: 0.000158123   327: -2.2589e-05   328: -1.05879e-20   329: -2.2589e-05   330: -1.16467e-21   445: -2.2589e-05   446: 9.52912e-21   626: 1.12945e-05\n",
      "Row 627:   43: 0.000155956   44: 0.000155956   66: 0.000155956   331: -2.22794e-05   332: -9.52912e-22   335: -2.22794e-05   336: -1.02703e-20   339: -2.22794e-05   340: -9.21148e-21   627: 1.11397e-05\n",
      "Row 628:   43: 0.000154184   65: 0.000154184   66: 0.000154184   333: -2.20262e-05   334: -9.635e-21   335: -2.20262e-05   336: -1.16467e-21   451: -2.20262e-05   452: 8.99973e-21   628: 1.10131e-05\n",
      "Row 629:   44: 0.000131902   45: 0.000131902   66: 0.000131902   337: -1.88431e-05   338: -7.41154e-22   339: -1.88431e-05   340: -8.15269e-21   343: -1.88431e-05   344: -7.72918e-21   629: 9.42157e-06\n",
      "Row 630:   47: 0.000158163   48: 0.000158163   67: 0.000158163   351: -2.25947e-05   352: -1.05879e-21   353: -2.25947e-05   354: -1.00585e-20   359: -2.25947e-05   360: -9.21148e-21   630: 1.12974e-05\n",
      "Row 631:   46: 0.00017711   47: 0.00017711   68: 0.00017711   345: -2.53014e-05   346: -1.05879e-21   349: -2.53014e-05   350: -1.14349e-20   355: -2.53014e-05   356: -1.05879e-20   631: 1.26507e-05\n",
      "Row 632:   47: 0.000185911   67: 0.000185911   68: 0.000185911   353: -2.65587e-05   354: -1.48231e-21   355: -2.65587e-05   356: -1.21761e-20   459: -2.65587e-05   460: -1.07997e-20   632: 1.32794e-05\n",
      "Row 633:   45: 0.000133088   46: 0.000133088   66: 0.000133088   341: -1.90125e-05   342: -7.41154e-22   343: -1.90125e-05   344: -8.47033e-21   347: -1.90125e-05   348: -8.04681e-21   633: 9.50627e-06\n",
      "Row 634:   48: 0.000159333   49: 0.000159333   69: 0.000159333   357: -2.27618e-05   358: -8.47033e-22   361: -2.27618e-05   362: -1.02703e-20   365: -2.27618e-05   366: -9.52912e-21   634: 1.13809e-05\n",
      "Row 635:   48: 0.000160098   67: 0.000160098   69: 0.000160098   359: -2.28711e-05   360: -1.01644e-20   361: -2.28711e-05   362: -1.16467e-21   461: -2.28711e-05   462: 9.31736e-21   635: 1.14355e-05\n",
      "Row 636:   49: 0.000140918   50: 0.000140918   70: 0.000140918   363: -2.01312e-05   364: -9.52912e-22   367: -2.01312e-05   368: -8.99973e-21   371: -2.01312e-05   372: -8.68209e-21   636: 1.00656e-05\n",
      "Row 637:   49: 0.000146601   69: 0.000146601   70: 0.000146601   365: -2.0943e-05   366: -9.42324e-21   367: -2.0943e-05   368: -9.52912e-22   471: -2.0943e-05   472: 8.57621e-21   637: 1.04715e-05\n",
      "Row 638:   50: 0.000109264   51: 0.000109264   71: 0.000109264   369: -1.56092e-05   370: -8.47033e-22   373: -1.56092e-05   374: -7.0939e-21   377: -1.56092e-05   378: -6.24687e-21   638: 7.8046e-06\n",
      "Row 639:   50: 0.000110837   70: 0.000110837   71: 0.000110837   371: -1.58338e-05   372: -7.30566e-21   373: -1.58338e-05   374: -1.05879e-21   477: -1.58338e-05   478: 6.67038e-21   639: 7.9169e-06\n",
      "Row 640:   51: 0.000106597   52: 0.000106597   71: 0.000106597   375: -1.52282e-05   376: -5.29396e-22   377: -1.52282e-05   378: -6.88214e-21   381: -1.52282e-05   382: -6.35275e-21   640: 7.61409e-06\n",
      "Row 641:   53: 0.00015108   54: 0.00015108   72: 0.00015108   385: -2.15829e-05   386: -1.05879e-21   387: -2.15829e-05   388: -9.52912e-21   393: -2.15829e-05   394: -8.99973e-21   641: 1.07915e-05\n",
      "Row 642:   52: 0.000135077   53: 0.000135077   73: 0.000135077   379: -1.92968e-05   380: -1.05879e-21   383: -1.92968e-05   384: -8.47033e-21   389: -1.92968e-05   390: -7.83505e-21   642: 9.64838e-06\n",
      "Row 643:   52: 0.000110077   71: 0.000110077   73: 0.000110077   381: -1.57253e-05   382: -6.98802e-21   383: -1.57253e-05   384: -8.47033e-22   483: -1.57253e-05   484: 6.45863e-21   643: 7.86266e-06\n",
      "Row 644:   53: 0.000144455   72: 0.000144455   73: 0.000144455   387: -2.06364e-05   388: -1.05879e-21   389: -2.06364e-05   390: -9.42324e-21   485: -2.06364e-05   486: -8.78797e-21   644: 1.03182e-05\n",
      "Row 645:   54: 0.000147456   55: 0.000147456   74: 0.000147456   391: -2.10652e-05   392: -9.52912e-22   395: -2.10652e-05   396: -9.52912e-21   399: -2.10652e-05   400: -8.68209e-21   645: 1.05326e-05\n",
      "Row 646:   54: 0.000150625   72: 0.000150625   74: 0.000150625   393: -2.15178e-05   394: -1.00585e-20   395: -2.15178e-05   396: -9.52912e-22   487: -2.15178e-05   488: 9.1056e-21   646: 1.07589e-05\n",
      "Row 647:   55: 0.000146418   56: 0.000146418   75: 0.000146418   397: -2.09169e-05   398: -1.05879e-21   401: -2.09169e-05   402: -9.21148e-21   405: -2.09169e-05   406: -8.36445e-21   647: 1.04584e-05\n",
      "Row 648:   55: 0.000126457   74: 0.000126457   75: 0.000126457   399: -1.80653e-05   400: -8.25857e-21   401: -1.80653e-05   402: -1.27055e-21   495: -1.80653e-05   496: 7.41154e-21   648: 9.03267e-06\n",
      "Row 649:   34: 0.000170346   35: 0.000170346   76: 0.000170346   279: -2.43352e-05   280: -1.27055e-21   283: -2.43352e-05   284: -1.10114e-20   289: -2.43352e-05   290: -9.74088e-21   649: 1.21676e-05\n",
      "Row 650:   35: 0.000163234   59: 0.000163234   76: 0.000163234   287: -2.33191e-05   288: -1.05879e-21   289: -2.33191e-05   290: -1.0482e-20   421: -2.33191e-05   422: -9.635e-21   650: 1.16596e-05\n",
      "Row 651:   46: 0.000171727   66: 0.000171727   68: 0.000171727   347: -2.45324e-05   348: -1.09055e-20   349: -2.45324e-05   350: -1.27055e-21   457: -2.45324e-05   458: 1.02703e-20   651: 1.22662e-05\n",
      "Row 652:   34: 0.000171076   57: 0.000171076   76: 0.000171076   281: -2.44394e-05   282: -1.14349e-20   283: -2.44394e-05   284: -1.16467e-21   409: -2.44394e-05   410: 1.00585e-20   652: 1.22197e-05\n",
      "Row 653:   56: 0.000141213   58: 0.000141213   75: 0.000141213   403: -2.01733e-05   404: -8.47033e-22   405: -2.01733e-05   406: -9.1056e-21   415: -2.01733e-05   416: -8.36445e-21   653: 1.00866e-05\n",
      "Row 654:   32: 0.000182606   56: 0.000182606   58: 0.000182606   269: -2.60866e-05   270: -1.18585e-20   271: -2.60866e-05   272: -1.37643e-21   403: -2.60866e-05   404: 1.05879e-20   654: 1.30433e-05\n",
      "Row 655:   60: 0.000126753   61: 0.000126753   77: 0.000126753   427: -1.81076e-05   428: -7.41154e-22   429: -1.81076e-05   430: -8.15269e-21   433: -1.81076e-05   434: -7.51742e-21   655: 9.05379e-06\n",
      "Row 656:   61: 0.000124014   63: 0.000124014   77: 0.000124014   431: -1.77163e-05   432: -9.52912e-22   433: -1.77163e-05   434: -8.25857e-21   443: -1.77163e-05   444: -7.19978e-21   656: 8.85814e-06\n",
      "Row 657:   59: 0.000137134   60: 0.000137134   77: 0.000137134   419: -1.95905e-05   420: -9.52912e-22   423: -1.95905e-05   424: -9.1056e-21   429: -1.95905e-05   430: -8.04681e-21   657: 9.79527e-06\n",
      "Row 658:   65: 0.000175271   66: 0.000175271   68: 0.000175271   451: -2.50387e-05   452: -1.05879e-21   453: -2.50387e-05   454: -1.12232e-20   457: -2.50387e-05   458: -1.01644e-20   658: 1.25194e-05\n",
      "Row 659:   62: 0.000155779   64: 0.000155779   78: 0.000155779   437: -2.22541e-05   438: -1.27055e-21   441: -2.22541e-05   442: -1.00585e-20   447: -2.22541e-05   448: -8.89385e-21   659: 1.11271e-05\n",
      "Row 660:   69: 0.000180353   70: 0.000180353   79: 0.000180353   471: -2.57647e-05   472: -1.05879e-21   473: -2.57647e-05   474: -1.16467e-20   481: -2.57647e-05   482: -1.05879e-20   660: 1.28824e-05\n",
      "Row 661:   67: 0.000167398   69: 0.000167398   80: 0.000167398   461: -2.3914e-05   462: -1.16467e-21   463: -2.3914e-05   464: -1.05879e-20   475: -2.3914e-05   476: -9.74088e-21   661: 1.1957e-05\n",
      "Row 662:   69: 0.00018797   79: 0.00018797   80: 0.00018797   473: -2.68529e-05   474: -1.16467e-21   475: -2.68529e-05   476: -1.28114e-20   517: -2.68529e-05   518: -1.14349e-20   662: 1.34265e-05\n",
      "Row 663:   67: 0.000152469   68: 0.000152469   81: 0.000152469   459: -2.17812e-05   460: -9.84676e-21   465: -2.17812e-05   466: -1.27055e-21   467: -2.17812e-05   468: 8.89385e-21   663: 1.08906e-05\n",
      "Row 664:   67: 0.000141642   80: 0.000141642   81: 0.000141642   463: -2.02345e-05   464: -1.05879e-21   465: -2.02345e-05   466: -8.78797e-21   523: -2.02345e-05   524: -8.15269e-21   664: 1.01173e-05\n",
      "Row 665:   64: 0.00015576   65: 0.00015576   82: 0.00015576   445: -2.22514e-05   446: -1.05879e-21   449: -2.22514e-05   450: -1.01644e-20   455: -2.22514e-05   456: -9.21148e-21   665: 1.11257e-05\n",
      "Row 666:   64: 0.000167556   78: 0.000167556   82: 0.000167556   447: -2.39365e-05   448: -1.10114e-20   449: -2.39365e-05   450: -1.37643e-21   511: -2.39365e-05   512: 1.00585e-20   666: 1.19683e-05\n",
      "Row 667:   57: 0.00018017   76: 0.00018017   83: 0.00018017   409: -2.57385e-05   410: -1.37643e-21   411: -2.57385e-05   412: -1.18585e-20   503: -2.57385e-05   504: -1.07997e-20   667: 1.28693e-05\n",
      "Row 668:   57: 0.000162602   58: 0.000162602   84: 0.000162602   407: -2.32289e-05   408: -1.0482e-20   413: -2.32289e-05   414: -8.47033e-22   417: -2.32289e-05   418: 9.635e-21   668: 1.16144e-05\n",
      "Row 669:   58: 0.000132413   75: 0.000132413   84: 0.000132413   415: -1.89162e-05   416: -8.68209e-21   417: -1.89162e-05   418: -1.16467e-21   501: -1.89162e-05   502: 7.83505e-21   669: 9.45809e-06\n",
      "Row 670:   57: 0.000167122   83: 0.000167122   84: 0.000167122   411: -2.38746e-05   412: -1.27055e-21   413: -2.38746e-05   414: -1.05879e-20   535: -2.38746e-05   536: -9.52912e-21   670: 1.19373e-05\n",
      "Row 671:   70: 0.000114911   71: 0.000114911   73: 0.000114911   477: -1.64159e-05   478: -7.41154e-22   479: -1.64159e-05   480: -7.51742e-21   483: -1.64159e-05   484: -6.98802e-21   671: 8.20793e-06\n",
      "Row 672:   74: 0.000131995   75: 0.000131995   84: 0.000131995   495: -1.88564e-05   496: -9.52912e-22   497: -1.88564e-05   498: -8.15269e-21   501: -1.88564e-05   502: -7.41154e-21   672: 9.4282e-06\n",
      "Row 673:   65: 0.000185576   68: 0.000185576   82: 0.000185576   453: -2.65109e-05   454: -1.27055e-21   455: -2.65109e-05   456: -1.2282e-20   469: -2.65109e-05   470: -1.07997e-20   673: 1.32554e-05\n",
      "Row 674:   72: 0.000159679   74: 0.000159679   85: 0.000159679   487: -2.28113e-05   488: -9.52912e-22   491: -2.28113e-05   492: -1.00585e-20   499: -2.28113e-05   500: -9.1056e-21   674: 1.14057e-05\n",
      "Row 675:   59: 0.000201994   76: 0.000201994   86: 0.000201994   421: -2.88563e-05   422: -1.27055e-20   425: -2.88563e-05   426: -1.27055e-21   505: -2.88563e-05   506: 1.20702e-20   675: 1.44282e-05\n",
      "Row 676:   76: 0.000212035   83: 0.000212035   86: 0.000212035   503: -3.02908e-05   504: -1.3976e-20   505: -3.02908e-05   506: -1.90582e-21   539: -3.02908e-05   540: 1.3129e-20   676: 1.51454e-05\n",
      "Row 677:   70: 0.000175316   73: 0.000175316   79: 0.000175316   479: -2.50451e-05   480: -1.05879e-21   481: -2.50451e-05   482: -1.14349e-20   493: -2.50451e-05   494: -1.03762e-20   677: 1.25226e-05\n",
      "Row 678:   62: 0.000130021   63: 0.000130021   77: 0.000130021   435: -1.85745e-05   436: -8.57621e-21   439: -1.85745e-05   440: -9.52912e-22   443: -1.85745e-05   444: 7.72918e-21   678: 9.28723e-06\n",
      "Row 679:   59: 0.000218037   77: 0.000218037   86: 0.000218037   423: -3.11482e-05   424: -1.48231e-21   425: -3.11482e-05   426: -1.35525e-20   509: -3.11482e-05   510: -1.3129e-20   679: 1.55741e-05\n",
      "Row 680:   68: 0.000155436   81: 0.000155436   82: 0.000155436   467: -2.22051e-05   468: -9.52912e-22   469: -2.22051e-05   470: -9.84676e-21   529: -2.22051e-05   530: -8.99973e-21   680: 1.11026e-05\n",
      "Row 681:   74: 0.000159333   84: 0.000159333   85: 0.000159333   497: -2.27619e-05   498: -8.47033e-22   499: -2.27619e-05   500: -1.01644e-20   543: -2.27619e-05   544: -9.42324e-21   681: 1.1381e-05\n",
      "Row 682:   72: 0.00017294   73: 0.00017294   79: 0.00017294   485: -2.47058e-05   486: -1.09055e-20   489: -2.47058e-05   490: -1.37643e-21   493: -2.47058e-05   494: 9.95264e-21   682: 1.23529e-05\n",
      "Row 683:   72: 0.000195985   79: 0.000195985   85: 0.000195985   489: -2.79979e-05   490: -1.2282e-20   491: -2.79979e-05   492: -1.05879e-21   519: -2.79979e-05   520: 1.12232e-20   683: 1.3999e-05\n",
      "Row 684:   62: 0.000176894   77: 0.000176894   78: 0.000176894   439: -2.52705e-05   440: -1.12232e-20   441: -2.52705e-05   442: -1.48231e-21   507: -2.52705e-05   508: 1.01644e-20   684: 1.26353e-05\n",
      "Row 685:   77: 0.000223943   78: 0.000223943   86: 0.000223943   507: -3.19918e-05   508: -1.90582e-21   509: -3.19918e-05   510: -1.46113e-20   513: -3.19918e-05   514: -1.3129e-20   685: 1.59959e-05\n",
      "Row 686:   79: 0.000204375   80: 0.000204375   87: 0.000204375   517: -2.91965e-05   518: -1.33408e-20   521: -2.91965e-05   522: -1.90582e-21   525: -2.91965e-05   526: 1.18585e-20   686: 1.45982e-05\n",
      "Row 687:   79: 0.000209605   85: 0.000209605   87: 0.000209605   519: -2.99436e-05   520: -1.48231e-21   521: -2.99436e-05   522: -1.33408e-20   545: -2.99436e-05   546: -1.20702e-20   687: 1.49718e-05\n",
      "Row 688:   78: 0.000207463   86: 0.000207463   88: 0.000207463   513: -2.96376e-05   514: -1.37643e-20   515: -2.96376e-05   516: -1.90582e-21   549: -2.96376e-05   550: 1.18585e-20   688: 1.48188e-05\n",
      "Row 689:   80: 0.0001785   87: 0.0001785   88: 0.0001785   525: -2.55e-05   526: -1.37643e-21   527: -2.55e-05   528: -1.17526e-20   551: -2.55e-05   552: -1.07997e-20   689: 1.275e-05\n",
      "Row 690:   83: 0.000174577   84: 0.000174577   85: 0.000174577   535: -2.49396e-05   536: -1.09055e-20   537: -2.49396e-05   538: -1.27055e-21   543: -2.49396e-05   544: 9.95264e-21   690: 1.24698e-05\n",
      "Row 691:   81: 0.000144106   82: 0.000144106   88: 0.000144106   529: -2.05866e-05   530: -9.31736e-21   531: -2.05866e-05   532: -1.16467e-21   533: -2.05866e-05   534: 8.47033e-21   691: 1.02933e-05\n",
      "Row 692:   83: 0.00022202   86: 0.00022202   87: 0.00022202   539: -3.17172e-05   540: -1.27055e-21   541: -3.17172e-05   542: -1.41878e-20   547: -3.17172e-05   548: -1.29173e-20   692: 1.58586e-05\n",
      "Row 693:   83: 0.00018509   85: 0.00018509   87: 0.00018509   537: -2.64414e-05   538: -1.2282e-20   541: -2.64414e-05   542: -1.48231e-21   545: -2.64414e-05   546: 1.12232e-20   693: 1.32207e-05\n",
      "Row 694:   78: 0.00017554   82: 0.00017554   88: 0.00017554   511: -2.50771e-05   512: -1.05879e-21   515: -2.50771e-05   516: -1.11173e-20   533: -2.50771e-05   534: -1.01644e-20   694: 1.25386e-05\n",
      "Row 695:   80: 0.000149954   81: 0.000149954   88: 0.000149954   523: -2.1422e-05   524: -9.84676e-21   527: -2.1422e-05   528: -1.16467e-21   531: -2.1422e-05   532: 8.99973e-21   695: 1.0711e-05\n",
      "Row 696:   86: 0.000216603   87: 0.000216603   88: 0.000216603   547: -3.09433e-05   548: -1.41878e-20   549: -3.09433e-05   550: -1.69407e-21   551: -3.09433e-05   552: 1.29173e-20   696: 1.54716e-05\n",
      "\n"
     ]
    }
   ],
   "source": [
    "mstar = m.mat.CreateMatrix()\n",
    "print(mstar)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "To access the entries we use the vector of nonzero-entries:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      " 0.000141642\n",
      " -2.02345e-05\n",
      " -1.05879e-21\n",
      " -2.02345e-05\n",
      " -8.78797e-21\n",
      " -2.02345e-05\n",
      " -8.15269e-21\n",
      " 1.01173e-05\n",
      " 0.00015576\n",
      " 0.00015576\n",
      " 0.00015576\n",
      " -2.22514e-05\n",
      " -1.05879e-21\n",
      " -2.22514e-05\n",
      " -1.01644e-20\n",
      " -2.22514e-05\n",
      " -9.21148e-21\n",
      " 1.11257e-05\n",
      " 0.000167556\n",
      " 0.000167556\n",
      " 0.000167556\n",
      " -2.39365e-05\n",
      " -1.10114e-20\n",
      " -2.39365e-05\n",
      " -1.37643e-21\n",
      " -2.39365e-05\n",
      " 1.00585e-20\n",
      " 1.19683e-05\n",
      " 0.00018017\n",
      " 0.00018017\n",
      " 0.00018017\n",
      " -2.57385e-05\n",
      " -1.37643e-21\n",
      " -2.57385e-05\n",
      " -1.18585e-20\n",
      " -2.57385e-05\n",
      " -1.07997e-20\n",
      " 1.28693e-05\n",
      " 0.000162602\n",
      " 0.000162602\n",
      " 0.000162602\n",
      " -2.32289e-05\n",
      " -1.0482e-20\n",
      " -2.32289e-05\n",
      " -8.47033e-22\n",
      " -2.32289e-05\n",
      " 9.635e-21\n",
      " 1.16144e-05\n",
      " 0.000132413\n",
      " 0.000132413\n",
      " 0.000132413\n",
      " -1.89162e-05\n",
      " -8.68209e-21\n",
      " -1.89162e-05\n",
      " -1.16467e-21\n",
      " -1.89162e-05\n",
      " 7.83505e-21\n",
      " 9.45809e-06\n",
      " 0.000167122\n",
      " 0.000167122\n",
      " 0.000167122\n",
      " -2.38746e-05\n",
      " -1.27055e-21\n",
      " -2.38746e-05\n",
      " -1.05879e-20\n",
      " -2.38746e-05\n",
      " -9.52912e-21\n",
      " 1.19373e-05\n",
      " 0.000114911\n",
      " 0.000114911\n",
      " 0.000114911\n",
      " -1.64159e-05\n",
      " -7.41154e-22\n",
      " -1.64159e-05\n",
      " -7.51742e-21\n",
      " -1.64159e-05\n",
      " -6.98802e-21\n",
      " 8.20793e-06\n",
      " 0.000131995\n",
      " 0.000131995\n",
      " 0.000131995\n",
      " -1.88564e-05\n",
      " -9.52912e-22\n",
      " -1.88564e-05\n",
      " -8.15269e-21\n",
      " -1.88564e-05\n",
      " -7.41154e-21\n",
      " 9.4282e-06\n",
      " 0.000185576\n",
      " 0.000185576\n",
      " 0.000185576\n",
      " -2.65109e-05\n",
      " -1.27055e-21\n",
      " -2.65109e-05\n",
      " -1.2282e-20\n",
      " -2.65109e-05\n",
      " -1.07997e-20\n",
      " 1.32554e-05\n",
      " 0.000159679\n",
      " 0.000159679\n",
      " 0.000159679\n",
      " -2.28113e-05\n",
      " -9.52912e-22\n",
      " -2.28113e-05\n",
      " -1.00585e-20\n",
      " -2.28113e-05\n",
      " -9.1056e-21\n",
      " 1.14057e-05\n",
      " 0.000201994\n",
      " 0.000201994\n",
      " 0.000201994\n",
      " -2.88563e-05\n",
      " -1.27055e-20\n",
      " -2.88563e-05\n",
      " -1.27055e-21\n",
      " -2.88563e-05\n",
      " 1.20702e-20\n",
      " 1.44282e-05\n",
      " 0.000212035\n",
      " 0.000212035\n",
      " 0.000212035\n",
      " -3.02908e-05\n",
      " -1.3976e-20\n",
      " -3.02908e-05\n",
      " -1.90582e-21\n",
      " -3.02908e-05\n",
      " 1.3129e-20\n",
      " 1.51454e-05\n",
      " 0.000175316\n",
      " 0.000175316\n",
      " 0.000175316\n",
      " -2.50451e-05\n",
      " -1.05879e-21\n",
      " -2.50451e-05\n",
      " -1.14349e-20\n",
      " -2.50451e-05\n",
      " -1.03762e-20\n",
      " 1.25226e-05\n",
      " 0.000130021\n",
      " 0.000130021\n",
      " 0.000130021\n",
      " -1.85745e-05\n",
      " -8.57621e-21\n",
      " -1.85745e-05\n",
      " -9.52912e-22\n",
      " -1.85745e-05\n",
      " 7.72918e-21\n",
      " 9.28723e-06\n",
      " 0.000218037\n",
      " 0.000218037\n",
      " 0.000218037\n",
      " -3.11482e-05\n",
      " -1.48231e-21\n",
      " -3.11482e-05\n",
      " -1.35525e-20\n",
      " -3.11482e-05\n",
      " -1.3129e-20\n",
      " 1.55741e-05\n",
      " 0.000155436\n",
      " 0.000155436\n",
      " 0.000155436\n",
      " -2.22051e-05\n",
      " -9.52912e-22\n",
      " -2.22051e-05\n",
      " -9.84676e-21\n",
      " -2.22051e-05\n",
      " -8.99973e-21\n",
      " 1.11026e-05\n",
      " 0.000159333\n",
      " 0.000159333\n",
      " 0.000159333\n",
      " -2.27619e-05\n",
      " -8.47033e-22\n",
      " -2.27619e-05\n",
      " -1.01644e-20\n",
      " -2.27619e-05\n",
      " -9.42324e-21\n",
      " 1.1381e-05\n",
      " 0.00017294\n",
      " 0.00017294\n",
      " 0.00017294\n",
      " -2.47058e-05\n",
      " -1.09055e-20\n",
      " -2.47058e-05\n",
      " -1.37643e-21\n",
      " -2.47058e-05\n",
      " 9.95264e-21\n",
      " 1.23529e-05\n",
      " 0.000195985\n",
      " 0.000195985\n",
      " 0.000195985\n",
      " -2.79979e-05\n",
      " -1.2282e-20\n",
      " -2.79979e-05\n",
      " -1.05879e-21\n",
      " -2.79979e-05\n",
      " 1.12232e-20\n",
      " 1.3999e-05\n",
      " 0.000176894\n",
      " 0.000176894\n",
      " 0.000176894\n",
      " -2.52705e-05\n",
      " -1.12232e-20\n",
      " -2.52705e-05\n",
      " -1.48231e-21\n",
      " -2.52705e-05\n",
      " 1.01644e-20\n",
      " 1.26353e-05\n",
      " 0.000223943\n",
      " 0.000223943\n",
      " 0.000223943\n",
      " -3.19918e-05\n",
      " -1.90582e-21\n",
      " -3.19918e-05\n",
      " -1.46113e-20\n",
      " -3.19918e-05\n",
      " -1.3129e-20\n",
      " 1.59959e-05\n",
      " 0.000204375\n",
      " 0.000204375\n",
      " 0.000204375\n",
      " -2.91965e-05\n",
      " -1.33408e-20\n",
      " -2.91965e-05\n",
      " -1.90582e-21\n",
      " -2.91965e-05\n",
      " 1.18585e-20\n",
      " 1.45982e-05\n",
      " 0.000209605\n",
      " 0.000209605\n",
      " 0.000209605\n",
      " -2.99436e-05\n",
      " -1.48231e-21\n",
      " -2.99436e-05\n",
      " -1.33408e-20\n",
      " -2.99436e-05\n",
      " -1.20702e-20\n",
      " 1.49718e-05\n",
      " 0.000207463\n",
      " 0.000207463\n",
      " 0.000207463\n",
      " -2.96376e-05\n",
      " -1.37643e-20\n",
      " -2.96376e-05\n",
      " -1.90582e-21\n",
      " -2.96376e-05\n",
      " 1.18585e-20\n",
      " 1.48188e-05\n",
      " 0.0001785\n",
      " 0.0001785\n",
      " 0.0001785\n",
      " -2.55e-05\n",
      " -1.37643e-21\n",
      " -2.55e-05\n",
      " -1.17526e-20\n",
      " -2.55e-05\n",
      " -1.07997e-20\n",
      " 1.275e-05\n",
      " 0.000174577\n",
      " 0.000174577\n",
      " 0.000174577\n",
      " -2.49396e-05\n",
      " -1.09055e-20\n",
      " -2.49396e-05\n",
      " -1.27055e-21\n",
      " -2.49396e-05\n",
      " 9.95264e-21\n",
      " 1.24698e-05\n",
      " 0.000144106\n",
      " 0.000144106\n",
      " 0.000144106\n",
      " -2.05866e-05\n",
      " -9.31736e-21\n",
      " -2.05866e-05\n",
      " -1.16467e-21\n",
      " -2.05866e-05\n",
      " 8.47033e-21\n",
      " 1.02933e-05\n",
      " 0.00022202\n",
      " 0.00022202\n",
      " 0.00022202\n",
      " -3.17172e-05\n",
      " -1.27055e-21\n",
      " -3.17172e-05\n",
      " -1.41878e-20\n",
      " -3.17172e-05\n",
      " -1.29173e-20\n",
      " 1.58586e-05\n",
      " 0.00018509\n",
      " 0.00018509\n",
      " 0.00018509\n",
      " -2.64414e-05\n",
      " -1.2282e-20\n",
      " -2.64414e-05\n",
      " -1.48231e-21\n",
      " -2.64414e-05\n",
      " 1.12232e-20\n",
      " 1.32207e-05\n",
      " 0.00017554\n",
      " 0.00017554\n",
      " 0.00017554\n",
      " -2.50771e-05\n",
      " -1.05879e-21\n",
      " -2.50771e-05\n",
      " -1.11173e-20\n",
      " -2.50771e-05\n",
      " -1.01644e-20\n",
      " 1.25386e-05\n",
      " 0.000149954\n",
      " 0.000149954\n",
      " 0.000149954\n",
      " -2.1422e-05\n",
      " -9.84676e-21\n",
      " -2.1422e-05\n",
      " -1.16467e-21\n",
      " -2.1422e-05\n",
      " 8.99973e-21\n",
      " 1.0711e-05\n",
      " 0.000216603\n",
      " 0.000216603\n",
      " 0.000216603\n",
      " -3.09433e-05\n",
      " -1.41878e-20\n",
      " -3.09433e-05\n",
      " -1.69407e-21\n",
      " -3.09433e-05\n",
      " 1.29173e-20\n",
      " 1.54716e-05\n",
      "\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(mstar.AsVector())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "11257\n",
      "11257\n"
     ]
    }
   ],
   "source": [
    "print(mstar.nze)\n",
    "print(len(mstar.AsVector()))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Using the vector we can build the linear combination of the a and the m matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "mstar = m.mat.CreateMatrix()\n",
    "mstar.AsVector().data = m.mat.AsVector() + dt * a.mat.AsVector()\n",
    "invmstar = mstar.Inverse(freedofs=fes.FreeDofs())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "We set the r.h.s. $f = exp(-6 ((x+\\frac12)^2+y^2)) - exp(-6 ((x-\\frac12)^2+y^2))$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "f = LinearForm(fes)\n",
    "gaussp = exp(-6*((x+0.5)*(x+0.5)+y*y))-exp(-6*((x-0.5)*(x-0.5)+y*y))\n",
    "Draw(gaussp,mesh,\"f\")\n",
    "f += SymbolicLFI(gaussp*v)\n",
    "f.Assemble()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "and the initial data: $u_0 = (1-y^2)x$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "gfu = GridFunction(fes)\n",
    "gfu.Set((1-y*y)*x)\n",
    "Draw(gfu,mesh,\"u\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 1.000000000000000776\n"
     ]
    }
   ],
   "source": [
    "tstep = 1 # time that we want to step over within one block-run\n",
    "t_intermediate=0 # time counter within one block-run\n",
    "res = gfu.vec.CreateVector()\n",
    "while t_intermediate < tstep - 0.5 * dt:\n",
    "    res.data = dt * f.vec - dt * a.mat * gfu.vec\n",
    "    gfu.vec.data += invmstar * res\n",
    "    t_intermediate += dt\n",
    "    print(\"\\r\",time+t_intermediate,end=\"\")\n",
    "    Redraw(blocking=True)\n",
    "print(\"\")\n",
    "time+=t_intermediate"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Alternative version with iterative solvers\n",
    "\n",
    "* For a factorization of $M^\\ast$ (${M^\\ast}^{-1}$) we require a sparse matrix $M^\\ast$ \n",
    "* To store $M^\\ast$ as a sparse matrix requires new storage (and same memory layout of $A$ and $M$)\n",
    "* For iterative solvers we only require the matrix (and preconditioner) applications\n",
    "* `mstar = m.mat + dt * a.mat` has no storage but matrix-vector multiplications\n",
    "\n",
    "iterative solver version (with Jacobi preconditining):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sum of\n",
      "Scale a = 1\n",
      "Print base-matrix\n",
      "Scale b = 1\n",
      "Scale with 0.001:\n",
      "Print base-matrix\n",
      "\n"
     ]
    }
   ],
   "source": [
    "mstar_alt = m.mat + dt * a.mat\n",
    "premstar_alt = m.mat.CreateSmoother() + dt * a.mat.CreateSmoother()\n",
    "invmstar_alt = CGSolver(mstar_alt,premstar_alt,printrates=True)\n",
    "\n",
    "print(premstar_alt)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Supplementary 1: time-dependent r.h.s. data\n",
    "Next: time-dependent r.h.s. data $f=f(t)$:\n",
    "\n",
    "* Use `Parameter` t representing the time. \n",
    "* A `Parameter` is a constant `CoefficientFunction` the value of which can be changed with the `Set`-function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "t = Parameter(0.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "An example of a time-dependent coefficient that we want to use as r.h.s. in the following is"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "omega=1\n",
    "gausspt = exp(-6*((x+sin(omega*t))*(x+sin(omega*t))+y*y))-exp(-6*((x-sin(omega*t))*(x-sin(omega*t))+y*y))\n",
    "Draw(gausspt,mesh,\"ft\")\n",
    "time = 0.0\n",
    "while time < 10 - 0.5 * dt:\n",
    "    t.Set(time)\n",
    "    Redraw(blocking=True)\n",
    "    time += 1e-4"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Accordingly we define a different linear form which then has to be assembled in every time step."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "ft = LinearForm(fes)\n",
    "ft += SymbolicLFI(gausspt*v)\n",
    "time = 0.0\n",
    "t.Set(0.0)\n",
    "gfu.Set((1-y*y)*x)\n",
    "#gfu.Set(CoefficientFunction(0))\n",
    "Draw(gfu,mesh,\"u\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 9.999999999999897676\n"
     ]
    }
   ],
   "source": [
    "tstep = 10 # time that we want to step over within one block-run\n",
    "t_intermediate=0 # time counter within one block-run\n",
    "res = gfu.vec.CreateVector()\n",
    "while t_intermediate < tstep - 0.5 * dt:\n",
    "    t.Set(time+t_intermediate+dt)\n",
    "    ft.Assemble()\n",
    "    res.data = dt * ft.vec - dt * a.mat * gfu.vec\n",
    "    gfu.vec.data += invmstar * res\n",
    "    t_intermediate += dt\n",
    "    print(\"\\r\",time+t_intermediate,end=\"\")\n",
    "    Redraw(blocking=True)\n",
    "print(\"\")\n",
    "time+=t_intermediate"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Supplementary 2: Time dependent boundary conditions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "* $u|_{\\partial \\Omega} = u_D(t)$, $f=0$\n",
    "* implicit Euler time stepping method, non-incremental form:\n",
    "\n",
    "  $$\n",
    "    M^\\ast u^{n+1} = (M + \\Delta t A) u^{n+1} = M u^n\n",
    "  $$  \n",
    "  \n",
    "* Homogenize w.r.t. to boundary conditions, i.e. we split \n",
    "\n",
    "  $$ u^{n+1} = u^{n+1}_0 + u^{n+1}_D $$ \n",
    "  \n",
    "  where $u^{n+1}_D$ is a (discrete) function with correct boundary condition:  \n",
    "  \n",
    "$$\n",
    "  {M^\\ast} u^{n+1}_0 = M u^n - {M^\\ast} u^{n+1}_D\n",
    "$$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "uD = CoefficientFunction( [(1-x*x)*IfPos(sin(0.3*pi*t),sin(0.3*pi*t),0),0,0,0])\n",
    "time = 0.0\n",
    "t.Set(0.0)\n",
    "gfu.Set(uD,BND)\n",
    "Draw(gfu,mesh,\"u\")\n",
    "# visualization stuff\n",
    "from ngsolve.internal import *\n",
    "visoptions.mminval = 0.0\n",
    "visoptions.mmaxval = 0.2\n",
    "visoptions.deformation = 0\n",
    "visoptions.autoscale = 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 1.999999999999890576\n"
     ]
    }
   ],
   "source": [
    "tstep = 2 # time that we want to step over within one block-run\n",
    "t_intermediate=0 # time counter within one block-run\n",
    "res = gfu.vec.CreateVector()\n",
    "while t_intermediate < tstep - 0.5 * dt:\n",
    "    t.Set(time+t_intermediate+dt)\n",
    "    res.data = m.mat * gfu.vec\n",
    "    gfu.Set(uD,BND)\n",
    "    res.data -= mstar * gfu.vec\n",
    "    gfu.vec.data += invmstar * res\n",
    "    t_intermediate += dt\n",
    "    print(\"\\r\",time+t_intermediate,end=\"\")\n",
    "    Redraw(blocking=True)\n",
    "print(\"\")\n",
    "time+=t_intermediate"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Supplementary 3: Singly diagonally implicit Runge-Kutta methods\n",
    "\n",
    "We consider more sophisticated time integration methods, SDIRK methods. To simplify presentation we set $f=0$.\n",
    "\n",
    "SDIRK methods for the semi-discrete problem $\\frac{d}{dt} u = M^{-1} F(u) = -M^{-1} \\cdot A u$ are of the form:\n",
    "\n",
    "$$\n",
    "  u^{n+1} = u^n + \\Delta t M^{-1} \\sum_{i=0}^{s-1} b_i k_i\n",
    "$$\n",
    "\n",
    "with\n",
    "\n",
    "$$\n",
    "k_i = - A u_i \\quad \\text{ where $u_i$ is the solution to } \\quad \n",
    "(M + a_{ii} \\Delta t A) u_i = M u^n - \\Delta t \\sum_{i=0}^{i-1} a_{ij} k_j, \\quad i=0,..,s-1.\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "The coefficients a,b and c are stored in the butcher tableau:\n",
    "\n",
    "$$\n",
    "\\begin{array}{c|cccc}\n",
    "c_0 & a_{00} & 0 & \\ddots& \\\\\n",
    "c_1 & a_{10} & a_{11} & 0 & \\ddots \\\\\n",
    "\\vdots & \\vdots & \\vdots & \\ddots & 0\\\\\n",
    "c_{s-1} & a_{s-1,0} & a_{s-1,1} & \\dots& a_{s-1,s-1} \\\\ \\hline\n",
    " & b_{0} & b_1 & \\dots& b_{s-1} \\\\\n",
    "\\end{array}\n",
    "$$\n",
    "\n",
    "For an SDIRK method we have $a^\\ast = a_{ii},~i=0,..,s-1$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Simplest example: Implicit Euler\n",
    "$$\n",
    "\\begin{array}{c|c}\n",
    "1 & 1 \\\\ \\hline\n",
    " & 1  \\\\\n",
    "\\end{array}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "class sdirk1: #order 1 (implicit Euler)\n",
    "    stages = 1\n",
    "    a = [[1]]\n",
    "    b = [1]\n",
    "    c = [1]\n",
    "    astar = 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "We can use for example the 2 stage SDIRK (order 3) method\n",
    "$$\n",
    "\\begin{array}{c|cc}\n",
    "p & p & 0 \\\\\n",
    "1-p & 1-2p & p \\\\ \\hline\n",
    " & 1/2 & 1/2 \\\\\n",
    "\\end{array}\n",
    "$$\n",
    "with $p = \\frac{3 - \\sqrt{3}}{6}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "class sdirk2: #order 3\n",
    "    p = (3 - sqrt(3))/6\n",
    "    stages = 2\n",
    "    a = [[p, 0], \n",
    "         [1 - 2*p, p]]\n",
    "    b = [1/2, 1/2]\n",
    "    c = [p, 1 - p]\n",
    "    astar = p\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "We can use for example the 5 stage SDIRK (order 4) method\n",
    "$$\n",
    "\\begin{array}{c|cccc}\n",
    "1/4 & 1/4  \\\\\n",
    "3/4 & 1/2 & 1/4 & \\\\\n",
    "11/20 & 17/50 & -1/25 & 1/4 \\\\\n",
    "1/2 & 371/1360 & -137/2720 & 15/544 & 1/4 \\\\\n",
    "1 & 25/4 & -49/48 & 125/16 & -85/12 & 1/4 \\\\ \\hline\n",
    " & 25/4 & -49/48 & 125/16 & -85/12 & 1/4 \\\\\n",
    "\\end{array}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "class sdirk5: #order 4\n",
    "    stages = 5\n",
    "    a = [[1/4, 0, 0, 0, 0], \n",
    "         [1/2, 1/4, 0, 0, 0], \n",
    "         [17/50,-1/25, 1/4, 0, 0],\n",
    "         [371/1360, -137/2720, 15/544, 1/4,0],\n",
    "         [25/24, -49/48, 125/16, -85/12, 1/4]]\n",
    "    b = [25/24, -49/48, 125/16, -85/12, 1/4]\n",
    "    c = [1/4, 3/4, 11/20, 1/2, 1]\n",
    "    astar = 1/4    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "### SDIRK2 :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "butchertab = sdirk2()   \n",
    "rhsi = gfu.vec.CreateVector()\n",
    "Mu0 = gfu.vec.CreateVector()\n",
    "ui = gfu.vec.CreateVector()\n",
    "k = [gfu.vec.CreateVector() for i in range(butchertab.stages)]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "We have to update the $M^\\ast$ matrix and reset initial data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "time = 0.0\n",
    "t.Set(0.0)\n",
    "gfu.Set(uD,BND)\n",
    "Draw(gfu,mesh,\"u\")\n",
    "# visualization stuff\n",
    "from ngsolve.internal import *\n",
    "visoptions.mminval = 0.0\n",
    "visoptions.mmaxval = 0.2\n",
    "visoptions.deformation = 0\n",
    "visoptions.autoscale = 0\n",
    "\n",
    "mstar.AsVector().data = m.mat.AsVector() + butchertab.astar * dt * a.mat.AsVector()\n",
    "invmstar = mstar.Inverse(freedofs=fes.FreeDofs())\n",
    "invmass = m.mat.Inverse(freedofs=fes.FreeDofs())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 1.999999999999890576\n"
     ]
    }
   ],
   "source": [
    "tstep = 2 # time that we want to step over within one block-run\n",
    "t_intermediate=0 # time counter within one block-run\n",
    "while t_intermediate < tstep - 0.5 * dt:\n",
    "    Mu0.data = m.mat * gfu.vec\n",
    "    for i in range(butchertab.stages):\n",
    "        # add up the ks as prescribed in the butcher tableau\n",
    "        rhsi.data = Mu0\n",
    "        for j in range(0,i):\n",
    "            rhsi.data += dt * butchertab.a[i][j] * k[j]\n",
    "        \n",
    "        # Solve for ui (with homogenization for the boundary data)\n",
    "        t.Set(time+t_intermediate+butchertab.c[i]*dt)\n",
    "        gfu.Set(uD,BND)\n",
    "        ui.data = gfu.vec\n",
    "        rhsi.data -= mstar * ui\n",
    "        ui.data += invmstar * rhsi\n",
    "        \n",
    "        # compute k[i] from ui\n",
    "        k[i].data = - a.mat * ui\n",
    "        \n",
    "    t_intermediate += dt\n",
    "    t.Set(time+t_intermediate)\n",
    "    \n",
    "    # Adding up the ks:\n",
    "    gfu.Set(uD,BND)\n",
    "    Mu0.data -= m.mat * gfu.vec\n",
    "    for i in range(0,butchertab.stages):\n",
    "        Mu0.data += dt * butchertab.b[i] * k[i]\n",
    "    gfu.vec.data += invmass * Mu0\n",
    "        \n",
    "    print(\"\\r\",time+t_intermediate,end=\"\")\n",
    "    Redraw(blocking=True)\n",
    "    \n",
    "print(\"\")\n",
    "time+=t_intermediate            "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Supplementary 4: VTK Output (\"exporting the nice pictures\")\n",
    "* see also https://ngsolve.org/blog/ngsolve/2-vtk-output\n",
    "* or `py_tutorials/vtkout.py` (ngsolve repository)\n",
    "\n",
    "Outputting the nice pictures to vtk (to visualize with paraview):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "vtk = VTKOutput(ma=mesh,coefs=[gfu],\n",
    "                names=[\"sol\"],\n",
    "                filename=\"vtk_example1\",\n",
    "                subdivision=3)\n",
    "vtk.Do()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "vtk_example1.vtk\n"
     ]
    }
   ],
   "source": [
    "%%bash\n",
    "ls vtk_example1.vtk"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "You can also export vector fields:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "vtk = VTKOutput(ma=mesh,coefs=[gfu,grad(gfu)],names=[\"sol\",\"gradsol\"],filename=\"vtk_example2\",subdivision=3)\n",
    "vtk.Do()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "#%%bash\n",
    "#paraview vtk_example2.vtk"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "And time dependent data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 0.300000000000000276\n"
     ]
    }
   ],
   "source": [
    "vtk = VTKOutput(ma=mesh,coefs=[gfu],names=[\"sol\"],filename=\"vtk_example3\",subdivision=3)\n",
    "vtk.Do()\n",
    "\n",
    "gfu.Set((1-y*y)*x)\n",
    "\n",
    "time = 0\n",
    "tstep = 0.3 # time that we want to step over within one block-run\n",
    "t_intermediate=0 # time counter within one block-run\n",
    "res = gfu.vec.CreateVector()\n",
    "i = 0\n",
    "while t_intermediate < tstep - 0.5 * dt:\n",
    "    res.data = dt * f.vec - dt * a.mat * gfu.vec\n",
    "    gfu.vec.data += invmstar * res\n",
    "    t_intermediate += dt\n",
    "    print(\"\\r\",time+t_intermediate,end=\"\")\n",
    "    Redraw(blocking=True)\n",
    "    i += 1\n",
    "    if (i%10 == 0):\n",
    "        vtk.Do()\n",
    "print(\"\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "#%%bash\n",
    "#paraview vtk_example3_..vtk"
   ]
  }
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